## Kumar, Sunil

Compute Distance To:
 Author ID: kumar.sunil Published as: Kumar, Sunil; Kumar, S. External Links: MGP
 Documents Indexed: 233 Publications since 1977, including 1 Book Co-Authors: 158 Co-Authors with 164 Joint Publications 5,570 Co-Co-Authors
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all top 5

### Serials

 9 Computational and Applied Mathematics 8 Mathematical Methods in the Applied Sciences 5 Chaos, Solitons and Fractals 5 Journal of Computational and Applied Mathematics 5 Mathematics and Computers in Simulation 5 Numerical Algorithms 4 International Journal of Modern Physics A 4 Acta Ciencia Indica. Mathematics 4 Applied Mathematics and Computation 4 Operations Research 4 International Journal of Production Research 4 Applied Mathematical Modelling 4 Applications and Applied Mathematics 4 Journal of Statistical Theory and Practice 3 IEEE Transactions on Reliability 3 The Mathematics Education 3 Mathematics of Operations Research 3 Numerical Methods for Partial Differential Equations 3 Queueing Systems 3 Fractals 2 Computers & Mathematics with Applications 2 Mathematics of Computation 2 Journal of Optimization Theory and Applications 2 The Journal of the Indian Academy of Mathematics 2 Acta Mathematica Hungarica 2 Applied Numerical Mathematics 2 Mathematical and Computer Modelling 2 The Annals of Applied Probability 2 Journal of Statistical Computation and Simulation 2 Statistical Papers 2 Journal of the Egyptian Mathematical Society 2 Nonlinear Studies 2 Journal of Mathematical Chemistry 2 Mathematical Problems in Engineering 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Fundamenta Informaticae 2 Ultra Scientist of Physical Sciences 2 Advances in Difference Equations 2 Thailand Statistician 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Advances in High Energy Physics 2 Journal of Nonlinear Science and Applications 2 International Journal of Engineering. Transactions A: Basics 2 Journal of Fractional Calculus and Applications 2 AIMS Mathematics 1 Modern Physics Letters A 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 International Journal of Heat and Mass Transfer 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Fluid Mechanics 1 Physica A 1 Physics Letters. A 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 The Aligarh Bulletin of Mathematics 1 Calcolo 1 IEEE Transactions on Automatic Control 1 Journal of Statistical Planning and Inference 1 Jnanabha 1 Management Science 1 Metron 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Trabajos de Estadistica y de Investigacion Operativa 1 Journal of Information & Optimization Sciences 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Revista Colombiana de Estadística 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics 1 Journal of the Nigerian Mathematical Society 1 Journal of Complexity 1 Discrete Event Dynamic Systems 1 YUJOR. Yugoslav Journal of Operations Research 1 Annals of Physics 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Experimental Mathematics 1 Neural, Parallel & Scientific Computations 1 The Journal of Fuzzy Mathematics 1 Physics of Fluids 1 Mathematical Finance 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Nonlinear Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Australian & New Zealand Journal of Statistics 1 Chaos 1 European Journal of Mechanics. A. Solids 1 Applied Science Periodical 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 International Journal of Differential Equations and Applications 1 Brazilian Journal of Probability and Statistics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) ...and 32 more Serials
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### Fields

 87 Numerical analysis (65-XX) 49 Partial differential equations (35-XX) 36 Ordinary differential equations (34-XX) 28 Operations research, mathematical programming (90-XX) 26 Statistics (62-XX) 19 Fluid mechanics (76-XX) 17 Real functions (26-XX) 13 Integral equations (45-XX) 13 Probability theory and stochastic processes (60-XX) 13 Biology and other natural sciences (92-XX) 12 Computer science (68-XX) 10 Operator theory (47-XX) 10 General topology (54-XX) 9 Quantum theory (81-XX) 8 Approximations and expansions (41-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Special functions (33-XX) 4 Combinatorics (05-XX) 4 Information and communication theory, circuits (94-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX)

### Citations contained in zbMATH Open

144 Publications have been cited 1,337 times in 842 Documents Cited by Year
Fractional-order Legendre functions for solving fractional-order differential equations. Zbl 1449.33012
Kazem, S.; Abbasbandy, S.; Kumar, Sunil
2013
A new collocation-type method for Hammerstein integral equations. Zbl 0616.65142
Kumar, Sunil; Sloan, Ian H.
1987
A new analytical modelling for fractional telegraph equation via Laplace transform. Zbl 1427.35327
Kumar, Sunil
2014
Superconvergence of a collocation-type method for Hammerstein equations. Zbl 0637.65140
Kumar, Sunil
1987
New analytical method for gas dynamics equation arising in shock fronts. Zbl 1351.35253
2014
Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. Zbl 1355.76015
Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru
2016
Multidimensional portfolio optimization with proportional transaction costs. Zbl 1145.91352
Muthuraman, Kumar; Kumar, Sunil
2006
A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods. Zbl 1452.65124
Kumar, Sunil; Kumar, Ranbir; Agarwal, Ravi P.; Samet, Bessem
2020
A discrete collocation-type method for Hammerstein equations. Zbl 0647.65090
Kumar, Sunil
1988
Heavy traffic analysis of open processing networks with complete resource pooling: asymptotic optimality of discrete review policies. Zbl 1071.60081
Ata, Baris; Kumar, Sunil
2005
Fractional modelling arising in unidirectional propagation of long waves in dispersive media. Zbl 1431.35230
Kumar, Sunil; Kumar, Devendra; Singh, Jagdev
2016
A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system. Zbl 1268.65139
Wei, Leilei; Zhang, Xindong; Kumar, Sunil; Yildirim, Ahmet
2012
Performance bounds for queueing networks and scheduling policies. Zbl 0812.90049
Kumar, Sunil; Kumar, P. R.
1994
Asymptotically optimal admission control of a queue with impatient customers. Zbl 1159.90017
Ward, Amy R.; Kumar, Sunil
2008
Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative. Zbl 1423.35392
2019
A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. Zbl 1447.35359
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem
2020
A regression approach to the estimation of the finite population mean in the presence of non-response. Zbl 1337.62024
Singh, Housila P.; Kumar, Sunil
2008
A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011
Kumar, Sunil; Kumar, Amit; Odibat, Zaid M.
2017
Residual power series method for fractional diffusion equations. Zbl 1386.35445
Kumar, Amit; Kumar, Sunil; Yan, Sheng-Ping
2017
A multiclass queue in heavy traffic with throughput time constraints: Asymptotically optimal dynamic controls. Zbl 1002.90015
Plambeck, Erica; Kumar, Sunil; Harrison, J. Michael
2001
A re-solving heuristic with bounded revenue loss for network revenue management with customer choice. Zbl 1243.90234
Jasin, Stefanus; Kumar, Sunil
2012
A new analytical solution procedure for nonlinear integral equations. Zbl 1255.45003
Khan, Majid; Gondal, Muhammad Asif; Kumar, Sunil
2012
Numerical computation of nonlinear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves. Zbl 06363304
Kumar, Devendra; Singh, Jagdev; Kumar, Sunil
2014
A numerical method for solving singular stochastic control problems. Zbl 1165.49305
Kumar, Sunil; Muthuraman, Kumar
2004
Improved estimation of finite-population mean using sub-sampling to deal with non response in two-phase sampling scheme. Zbl 1188.62079
Singh, Housila P.; Kumar, Sunil; Kozak, Marcin
2010
An analysis for heat equations arises in diffusion process using new Yang-Abdel-Aty-Cattani fractional operator. Zbl 1452.35242
Kumar, Sunil; Ghosh, Surath; Samet, Bessem; Goufo, Emile Franc Doungmo
2020
Estimation of mean in presence of non-response using two phase sampling scheme. Zbl 1247.62027
Singh, Housila P.; Kumar, Sunil
2010
Application of homotopy analysis method for fractional Swift Hohenberg equation – revisited. Zbl 1252.65179
Vishal, K.; Kumar, Sunil; Das, Subir
2012
A new analysis for the Keller-Segel model of fractional order. Zbl 1365.65233
Kumar, Sunil; Kumar, Amit; Argyros, Ioannis K.
2017
Contributions to hardware and software reliability. Zbl 0979.68005
Kapur, P. K.; Garg, R. B.; Kumar, S.
1999
Estimation of population product in presence of non-response in successive sampling. Zbl 1247.62028
Singh, Housila P.; Kumar, Sunil
2010
Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation. Zbl 1263.65098
Wei, Leilei; He, Yinnian; Yildirim, Ahmet; Kumar, Sunil
2013
The late-time development of the Richtmyer-Meshkov instability. Zbl 1184.76434
Prasad, J. K.; Rasheed, A.; Kumar, S.; Sturtevant, B.
2000
Analytical solution of Abel integral equation arising in astrophysics via Laplace transform. Zbl 1311.45001
Kumar, Sunil; Kumar, Amit; Kumar, Devendra; Singh, Jagdev; Singh, Arvind
2015
Parameter-robust numerical method for a system of singularly perturbed initial value problems. Zbl 1245.65101
Kumar, Sunil; Kumar, Mukesh
2012
Hydromagnetic convective instability of a rotating, self-gravitating fluid sphere containing a uniform distribution of heat sources. Zbl 0392.76040
Eltayeb, I. A.; Kumar, S.
1977
A general procedure of estimating the population mean in the presence of non-response under double sampling using auxiliary information. Zbl 1274.62100
Singh, Housila P.; Kumar, Sunil
2009
A domain decomposition method for solving singularly perturbed parabolic reaction-diffusion problems with time delay. Zbl 1407.65176
Singh, Joginder; Kumar, Sunil; Kumar, Mukesh
2018
Second order global uniformly convergent numerical method for a coupled system of singularly perturbed initial value problems. Zbl 1311.65101
Rao, S. Chandra Sekhara; Kumar, Sunil
2012
Convergence of three-step Taylor Galerkin finite element scheme based monotone Schwarz iterative method for singularly perturbed differential-difference equation. Zbl 1326.65132
Kumar, B. V. Rathish; Kumar, Sunil
2015
A stable numerical inversion of generalized Abel’s integral equation. Zbl 1241.65122
Dixit, Sandeep; Singh, Om P.; Kumar, Sunil
2012
A robust overlapping Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction-diffusion problems. Zbl 1280.65105
Kumar, Sunil; Chandra Sekhara Rao, S.
2014
High order parameter-uniform discretization for singularly perturbed parabolic partial differential equations with time delay. Zbl 1367.35019
Kumar, Sunil; Kumar, Mukesh
2014
Improved estimation of population mean under two-phase sampling with subsampling the non-respondents. Zbl 1255.62029
Singh, Housila P.; Kumar, Sunil
2010
Monotone convergence of extended iterative methods and fractional calculus with applications. Zbl 1378.65115
Anastassiou, George A.; Argyros, Ioannis K.; Kumar, Sunil
2017
The numerical solution of Hammerstein equations by a method based on polynomial collocation. Zbl 0707.65101
Kumar, Sunil
1990
Two-server closed networks in heavy traffic: diffusion limits and asymptotic optimality. Zbl 1073.60538
Kumar, Sunil
2000
A class of ratio-cum-product type estimators under double sampling in the presence of non-response. Zbl 1269.62026
Kumar, Sunil; Singh, Housila P.; Bhougal, Sandeep; Gupta, Rahul
2011
A second order uniformly convergent numerical scheme for parameterized singularly perturbed delay differential problems. Zbl 1382.65211
Kumar, Sunil; Kumar, Mukesh
2017
On the approximate solution of nonlinear time-fractional KdV equation via modified homotopy analysis Laplace transform method. Zbl 06807018
Li, Chong; Kumar, Amit; Kumar, Sunil; Yang, Xiao-Jun
2016
A modified analytical approach for fractional discrete KdV equations arising in particle vibrations. Zbl 1393.34016
Kumar, Amit; Kumar, Sunil
2018
Analysis of deterministic LP-based booking limit and bid price controls for revenue management. Zbl 1291.90019
Jasin, Stefanus; Kumar, Sunil
2013
Combination of regression and ratio estimate in presence of nonresponse. Zbl 1298.62021
Singh, Housila P.; Kumar, Sunil
2011
An analysis of overlapping domain decomposition methods for singularly perturbed reaction-diffusion problems. Zbl 1310.65083
Kumar, Sunil; Kumar, Mukesh
2015
An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction-diffusion equations. Zbl 1221.65179
Chandra Sekhara Rao, S.; Kumar, Sunil
2011
A coupling method of homotopy perturbation and Laplace transformation for fractional models. Zbl 1245.65143
Khan, Yasir; Faraz, Naeem; Kumar, Sunil; Yildirim, Ahmet
2012
Oscillatory MHD flow of blood through an artery with mild stenosis. Zbl 1357.76101
Kumar, S.; Kumar, S.; Kumar, D.
2009
An efficient computational method for local fractional transport equation occurring in fractal porous media. Zbl 1463.76050
Singh, Jagdev; Kumar, Devendra; Kumar, Sunil
2020
Analysis of some numerical methods on layer adapted meshes for singularly perturbed quasilinear systems. Zbl 1335.65062
Kumar, Sunil; Kumar, Mukesh
2016
A parameter-uniform B-spline collocation method for singularly perturbed semilinear reaction-diffusion problems. Zbl 1202.49033
Rao, S. C. S.; Kumar, S.; Kumar, M.
2010
Superconvergence of a collocation-type method for simple turning points of Hammerstein equations. Zbl 0647.65091
Kumar, Sunil
1988
A family of efficient estimators of the finite population mean in simple random sampling. Zbl 07192585
Pal, Surya K.; Singh, Housila P.; Kumar, Sunil; Chatterjee, Kiranmoy
2018
(Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: a couple of relativistic toy models as examples. Zbl 1396.81202
Kumar, S.; Chauhan, B.; Malik, R. P.
2018
Residual power series method for time-fractional Schrödinger equations. Zbl 06816043
Zhang, Yu; Kumar, Amit; Kumar, Sunil; Baleanu, Dumitru; Yang, Xiao-Jun
2016
A general family of estimators of finite population ratio, product and mean using two phase sampling scheme in the presence of non-response. Zbl 1211.62025
Singh, Housila P.; Kumar, Sunil
2008
Layer-adapted methods for quasilinear singularly perturbed delay differential problems. Zbl 1337.65096
Kumar, Sunil
2014
Higher order numerical approximation for time dependent singularly perturbed differential-difference convection-diffusion equations. Zbl 1395.65017
Gupta, Vikas; Kumar, Mukesh; Kumar, Sunil
2018
Shallow water wave models with and without singular kernel: existence, uniqueness, and similarities. Zbl 1426.35223
Doungmo Goufo, Emile Franc; Kumar, Sunil
2017
Fluctuation smoothing policies are stable for stochastic re-entrant lines. Zbl 0864.90061
Kumar, Sunil; Kumar, P. R.
1996
High order robust approximations for singularly perturbed semilinear systems. Zbl 1252.65130
Kumar, Mukesh; Kumar, Sunil
2012
Diffusion of innovations under supply constraints. Zbl 1165.90475
Kumar, Sunil; Swaminathan, Jayashankar M.
2003
An efficient numerical method for a system of singularly perturbed semilinear reaction-diffusion equations. Zbl 1318.65055
Rao, S. Chandra Sekhara; Kumar, Sunil
2011
Homotopy perturbation method for solving system of generalized Abel’s integral equations. Zbl 1238.65131
Kumar, Sunil; Singh, Om P.; Dixit, Sandeep
2011
Critical path problem under assignment constraint - an application of an extreme point mathematical programming problem. Zbl 0462.90043
Chandrasekaran, R.; Kumar, S.; Wagner, D.
1980
Modified 2D Proca theory: revisited under BRST and (anti-)chiral superfield formalisms. Zbl 1434.81058
Chauhan, B.; Kumar, S.; Tripathi, A.; Malik, R. P.
2020
A robust domain decomposition algorithm for singularly perturbed semilinear systems. Zbl 1378.65151
Kumar, Sunil; Rao, S. Chandra Sekhara
2017
Efficient methods of optimal eighth and sixteenth order convergence for solving nonlinear equations. Zbl 1398.65101
Sharma, Janak Raj; Kumar, Sunil
2018
Flow past a rotationally oscillating cylinder. Zbl 1294.76027
Kumar, S.; Lopez, C.; Probst, O.; Francisco, G.; Askari, D.; Yang, Y.
2013
Robust high order convergence of an overlapping Schwarz method for singularly perturbed semilinear reaction-diffusion problems. Zbl 1299.65213
Rao, S. Chandra Sekhara; Kumar, Sunil
2013
An accurate numerical method for solving the linear fractional Klein-Gordon equation. Zbl 1309.65114
2014
Dynamics of new product introduction in closed rental systems. Zbl 1233.90108
Bassamboo, Achal; Kumar, Sunil; Randhawa, Ramandeep S.
2009
Self-interested routing in queueing networks. Zbl 1232.90153
Parlaktürk, Ali K.; Kumar, Sunil
2004
The extended fractional subequation method for nonlinear fractional differential equations. Zbl 1264.35272
Zhao, Jianping; Tang, Bo; Kumar, Sunil; Hou, Yanren
2012
Kernel distance-based robust support vector method and its application in developing a robust K-chart. Zbl 1095.62137
Kumar, S.; Choudhary, A. K.; Kumar, M.; Shankar, R.; Tiwari, M. K.
2006
Multivariate indirect methods of estimation in presence of non-response in successive sampling. Zbl 1416.62098
Singh, Housila P.; Kumar, Sunil
2009
An analytic algorithm for solving system of fractional differential equations. Zbl 1413.34014
Dixit, S.; Singh, O. P.; Kumar, S.
2010
(anti-)chiral superfield approach to interacting abelian 1-form gauge theories: nilpotent and absolutely anticommuting charges. Zbl 1382.81138
Chauhan, B.; Kumar, S.; Malik, R. P.
2018
Preserving properties and pre-Schwarzian norms of nonlinear integral transforms. Zbl 1474.30150
Kumar, S.; Sahoo, S. K.
2020
Integrating streaming and file-transfer internet traffic: fluid and diffusion approximations. Zbl 1185.60102
Kumar, Sunil; Massoulié, Laurent
2007
A study on the convergence conditions of generalized differential transform method. Zbl 1354.26013
Odibat, Zaid M.; Kumar, Sunil; Shawagfeh, Nabil; Alsaedi, Ahmed; Hayat, Tasawar
2017
Multiserver loss systems with subscribers. Zbl 1213.60152
Randhawa, Ramandeep S.; Kumar, Sunil
2009
Symmetry reduction, exact solutions, and conservation laws of the ZK-BBM equation. Zbl 1247.35126
Zhang, Wenbin; Zhou, Jiangbo; Kumar, Sunil
2012
Solving free-boundary problems with applications in finance. Zbl 1156.91021
Muthuraman, Kumar; Kumar, Sunil
2006
Satisficing: a ’pretty good’ heuristic. Zbl 1192.91032
Bendor, Jonathan Brodie; Kumar, Sunil; Siegel, David A.
2009
An efficient computational method for solving a system of FDEs via fractional finite difference method. Zbl 1435.65122
2019
Estimation of population mean in the presence of non-response and measurement error. Zbl 1435.62047
Kumar, Sunil; Bhougal, Sandeep; Nataraja, N. S.; Viswanathaiah, M.
2015
Distributions of off-diagonal scattering matrix elements: Exact results. Zbl 1342.81648
Nock, A.; Kumar, S.; Sommers, H.-J.; Guhr, T.
2014
Improved estimation of population mean in presence of nonresponse and measurement error. Zbl 1420.62043
Kumar, Sunil
2016
A robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems. Zbl 1415.65218
Kumar, Sunil; Singh, Joginder; Kumar, Mukesh
2019
Effective gravitational mass of the Ayón-Beato and García metric. Zbl 1320.83028
Sinha, A. K.; Pandey, G. K.; Bhaskar, A. K.; Rai, B. C.; Jha, A. K.; Kumar, S.
2015
A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems. Zbl 07444605
Kumar, Sunil; Sumit; Vigo-Aguiar, Jesus
2022
Analysis of a nonlinear singularly perturbed Volterra integro-differential equation. Zbl 1481.65271
Sumit; Kumar, Sunil; Vigo-Aguiar, Jesus
2022
A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition. Zbl 1480.65186
Kumar, Sunil; Kumar, Shashikant; Sumit
2022
Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model. Zbl 07458728
Bentout, Soufiane; Djilali, Salih; Kumar, Sunil
2021
Spectral approximation methods for non equilibrium transport in turbulent channel flows using fADE. Zbl 1459.65195
Ghosh, Surath; Kundu, Snehasis; Kumar, Sunil; Mahmoud, Emad E.
2021
Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions. Zbl 07332888
Kumar, Sunil; Sumit; Ramos, Higinio
2021
A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods. Zbl 1452.65124
Kumar, Sunil; Kumar, Ranbir; Agarwal, Ravi P.; Samet, Bessem
2020
A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. Zbl 1447.35359
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem
2020
An analysis for heat equations arises in diffusion process using new Yang-Abdel-Aty-Cattani fractional operator. Zbl 1452.35242
Kumar, Sunil; Ghosh, Surath; Samet, Bessem; Goufo, Emile Franc Doungmo
2020
An efficient computational method for local fractional transport equation occurring in fractal porous media. Zbl 1463.76050
Singh, Jagdev; Kumar, Devendra; Kumar, Sunil
2020
Modified 2D Proca theory: revisited under BRST and (anti-)chiral superfield formalisms. Zbl 1434.81058
Chauhan, B.; Kumar, S.; Tripathi, A.; Malik, R. P.
2020
Preserving properties and pre-Schwarzian norms of nonlinear integral transforms. Zbl 1474.30150
Kumar, S.; Sahoo, S. K.
2020
A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem. Zbl 1463.65249
Sumit; Kumar, Sunil; Kuldeep; Kumar, Mukesh
2020
Lie symmetry analysis and dynamical structures of soliton solutions for the $$(2+1)$$-dimensional modified CBS equation. Zbl 1451.35167
Kumar, S.; Kumar, D.
2020
A discrete Schwarz waveform relaxation method of higher order for singularly perturbed parabolic reaction-diffusion problems. Zbl 1440.65126
Rao, S. Chandra Sekhara; Kumar, Sunil; Singh, Joginder
2020
Multiscale modeling of strength and failure behavior of carbon nanostructure reinforced epoxy composite adhesives in bonded systems. Zbl 07173585
Upadhyaya, Priyank; Kumar, S.; Reddy, J. N.; Lacy, Thomas E.
2020
How many eigenvalues of a product of truncated orthogonal matrices are real? Zbl 1466.15035
Forrester, Peter J.; Ipsen, Jesper R.; Kumar, S.
2020
A fractional derivative with two singular kernels and application to a heat conduction problem. Zbl 1482.26005
Baleanu, Dumitru; Jleli, Mohamed; Kumar, Sunil; Samet, Bessem
2020
A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative. Zbl 1483.92060
Ghanbari, Behzad; Kumar, Sunil; Kumar, Ranbir
2020
Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative. Zbl 1423.35392
2019
An efficient computational method for solving a system of FDEs via fractional finite difference method. Zbl 1435.65122
2019
A robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems. Zbl 1415.65218
Kumar, Sunil; Singh, Joginder; Kumar, Mukesh
2019
Atangana-Baleanu derivative with fractional order applied to the gas dynamics equations. Zbl 1440.76132
Kumar, Sunil; Kumar, Amit; Nieto, J. J.; Sharma, B.
2019
Complete flux scheme for parabolic singularly perturbed differential-difference equations. Zbl 1418.65113
Kumar, Sunil; Kumar, Bayya Venkatesulu Rathish; ten Thije Boonkkamp, Johannes Hendrikus Maria
2019
Complete flux scheme for elliptic singularly perturbed differential-difference equations. Zbl 07316748
Kumar, Sunil; Kumar, B. V. Rathish; Ten Thije Boonkkamp, J. H. M.
2019
Nilpotent charges in an interacting gauge theory and an $$\mathcal{N} = 2$$ SUSY quantum mechanical model: (anti-)chiral superfield approach. Zbl 1471.81068
Chauhan, B.; Kumar, S.; Malik, R. P.
2019
A domain decomposition method for solving singularly perturbed parabolic reaction-diffusion problems with time delay. Zbl 1407.65176
Singh, Joginder; Kumar, Sunil; Kumar, Mukesh
2018
A modified analytical approach for fractional discrete KdV equations arising in particle vibrations. Zbl 1393.34016
Kumar, Amit; Kumar, Sunil
2018
A family of efficient estimators of the finite population mean in simple random sampling. Zbl 07192585
Pal, Surya K.; Singh, Housila P.; Kumar, Sunil; Chatterjee, Kiranmoy
2018
(Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: a couple of relativistic toy models as examples. Zbl 1396.81202
Kumar, S.; Chauhan, B.; Malik, R. P.
2018
Higher order numerical approximation for time dependent singularly perturbed differential-difference convection-diffusion equations. Zbl 1395.65017
Gupta, Vikas; Kumar, Mukesh; Kumar, Sunil
2018
Efficient methods of optimal eighth and sixteenth order convergence for solving nonlinear equations. Zbl 1398.65101
Sharma, Janak Raj; Kumar, Sunil
2018
(anti-)chiral superfield approach to interacting abelian 1-form gauge theories: nilpotent and absolutely anticommuting charges. Zbl 1382.81138
Chauhan, B.; Kumar, S.; Malik, R. P.
2018
Ball convergence of an efficient eighth order iterative method under weak conditions. Zbl 1404.65045
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Sunil
2018
A family of higher order derivative free methods for nonlinear systems with local convergence analysis. Zbl 1413.65200
Bhalla, S.; Kumar, S.; Argyros, I. K.; Behl, Ramandeep
2018
A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011
Kumar, Sunil; Kumar, Amit; Odibat, Zaid M.
2017
Residual power series method for fractional diffusion equations. Zbl 1386.35445
Kumar, Amit; Kumar, Sunil; Yan, Sheng-Ping
2017
A new analysis for the Keller-Segel model of fractional order. Zbl 1365.65233
Kumar, Sunil; Kumar, Amit; Argyros, Ioannis K.
2017
Monotone convergence of extended iterative methods and fractional calculus with applications. Zbl 1378.65115
Anastassiou, George A.; Argyros, Ioannis K.; Kumar, Sunil
2017
A second order uniformly convergent numerical scheme for parameterized singularly perturbed delay differential problems. Zbl 1382.65211
Kumar, Sunil; Kumar, Mukesh
2017
Shallow water wave models with and without singular kernel: existence, uniqueness, and similarities. Zbl 1426.35223
Doungmo Goufo, Emile Franc; Kumar, Sunil
2017
A robust domain decomposition algorithm for singularly perturbed semilinear systems. Zbl 1378.65151
Kumar, Sunil; Rao, S. Chandra Sekhara
2017
A study on the convergence conditions of generalized differential transform method. Zbl 1354.26013
Odibat, Zaid M.; Kumar, Sunil; Shawagfeh, Nabil; Alsaedi, Ahmed; Hayat, Tasawar
2017
A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation. Zbl 1401.65107
Kumar, Sunil; Rathish Kumar, B. V.
2017
A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation. Zbl 1411.65129
Kumar, Sunil; Kumar, B. V. Rathish
2017
Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. Zbl 1355.76015
Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru
2016
Fractional modelling arising in unidirectional propagation of long waves in dispersive media. Zbl 1431.35230
Kumar, Sunil; Kumar, Devendra; Singh, Jagdev
2016
On the approximate solution of nonlinear time-fractional KdV equation via modified homotopy analysis Laplace transform method. Zbl 06807018
Li, Chong; Kumar, Amit; Kumar, Sunil; Yang, Xiao-Jun
2016
Analysis of some numerical methods on layer adapted meshes for singularly perturbed quasilinear systems. Zbl 1335.65062
Kumar, Sunil; Kumar, Mukesh
2016
Residual power series method for time-fractional Schrödinger equations. Zbl 06816043
Zhang, Yu; Kumar, Amit; Kumar, Sunil; Baleanu, Dumitru; Yang, Xiao-Jun
2016
Improved estimation of population mean in presence of nonresponse and measurement error. Zbl 1420.62043
Kumar, Sunil
2016
Complete flux scheme for conservation laws containing a linear source. Zbl 1352.65434
ten Thije Boonkkamp, J. H. M.; Rathish Kumar, B. V.; Kumar, S.; Pargaei, M.
2016
Analytical solution of Abel integral equation arising in astrophysics via Laplace transform. Zbl 1311.45001
Kumar, Sunil; Kumar, Amit; Kumar, Devendra; Singh, Jagdev; Singh, Arvind
2015
Convergence of three-step Taylor Galerkin finite element scheme based monotone Schwarz iterative method for singularly perturbed differential-difference equation. Zbl 1326.65132
Kumar, B. V. Rathish; Kumar, Sunil
2015
An analysis of overlapping domain decomposition methods for singularly perturbed reaction-diffusion problems. Zbl 1310.65083
Kumar, Sunil; Kumar, Mukesh
2015
Estimation of population mean in the presence of non-response and measurement error. Zbl 1435.62047
Kumar, Sunil; Bhougal, Sandeep; Nataraja, N. S.; Viswanathaiah, M.
2015
Effective gravitational mass of the Ayón-Beato and García metric. Zbl 1320.83028
Sinha, A. K.; Pandey, G. K.; Bhaskar, A. K.; Rai, B. C.; Jha, A. K.; Kumar, S.
2015
A new analytical modelling for fractional telegraph equation via Laplace transform. Zbl 1427.35327
Kumar, Sunil
2014
New analytical method for gas dynamics equation arising in shock fronts. Zbl 1351.35253
2014
Numerical computation of nonlinear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves. Zbl 06363304
Kumar, Devendra; Singh, Jagdev; Kumar, Sunil
2014
A robust overlapping Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction-diffusion problems. Zbl 1280.65105
Kumar, Sunil; Chandra Sekhara Rao, S.
2014
High order parameter-uniform discretization for singularly perturbed parabolic partial differential equations with time delay. Zbl 1367.35019
Kumar, Sunil; Kumar, Mukesh
2014
Layer-adapted methods for quasilinear singularly perturbed delay differential problems. Zbl 1337.65096
Kumar, Sunil
2014
An accurate numerical method for solving the linear fractional Klein-Gordon equation. Zbl 1309.65114
2014
Distributions of off-diagonal scattering matrix elements: Exact results. Zbl 1342.81648
Nock, A.; Kumar, S.; Sommers, H.-J.; Guhr, T.
2014
Estimation of the ratio, product and mean using multi auxiliary variables in the presence of non-response. Zbl 1449.62010
Kumar, Sunil
2014
Fractional calculus of the generalized Mittag-Leffler type function. Zbl 07027203
Kumar, Dinesh; Kumar, Sunil
2014
Fractional-order Legendre functions for solving fractional-order differential equations. Zbl 1449.33012
Kazem, S.; Abbasbandy, S.; Kumar, Sunil
2013
Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation. Zbl 1263.65098
Wei, Leilei; He, Yinnian; Yildirim, Ahmet; Kumar, Sunil
2013
Analysis of deterministic LP-based booking limit and bid price controls for revenue management. Zbl 1291.90019
Jasin, Stefanus; Kumar, Sunil
2013
Flow past a rotationally oscillating cylinder. Zbl 1294.76027
Kumar, S.; Lopez, C.; Probst, O.; Francisco, G.; Askari, D.; Yang, Y.
2013
Robust high order convergence of an overlapping Schwarz method for singularly perturbed semilinear reaction-diffusion problems. Zbl 1299.65213
Rao, S. Chandra Sekhara; Kumar, Sunil
2013
Peakon-antipeakon interaction in the Dullin-Gottwald-Holm equation. Zbl 1293.35074
Zhou, Jiangbo; Tian, Lixin; Zhang, Wenbin; Kumar, Sunil
2013
Wavelet based numerical scheme for differential equations. Zbl 1283.65070
Dhawan, S.; Arora, Sangeeta; Kumar, S.
2013
A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system. Zbl 1268.65139
Wei, Leilei; Zhang, Xindong; Kumar, Sunil; Yildirim, Ahmet
2012
A re-solving heuristic with bounded revenue loss for network revenue management with customer choice. Zbl 1243.90234
Jasin, Stefanus; Kumar, Sunil
2012
A new analytical solution procedure for nonlinear integral equations. Zbl 1255.45003
Khan, Majid; Gondal, Muhammad Asif; Kumar, Sunil
2012
Application of homotopy analysis method for fractional Swift Hohenberg equation – revisited. Zbl 1252.65179
Vishal, K.; Kumar, Sunil; Das, Subir
2012
Parameter-robust numerical method for a system of singularly perturbed initial value problems. Zbl 1245.65101
Kumar, Sunil; Kumar, Mukesh
2012
Second order global uniformly convergent numerical method for a coupled system of singularly perturbed initial value problems. Zbl 1311.65101
Rao, S. Chandra Sekhara; Kumar, Sunil
2012
A stable numerical inversion of generalized Abel’s integral equation. Zbl 1241.65122
Dixit, Sandeep; Singh, Om P.; Kumar, Sunil
2012
A coupling method of homotopy perturbation and Laplace transformation for fractional models. Zbl 1245.65143
Khan, Yasir; Faraz, Naeem; Kumar, Sunil; Yildirim, Ahmet
2012
High order robust approximations for singularly perturbed semilinear systems. Zbl 1252.65130
Kumar, Mukesh; Kumar, Sunil
2012
The extended fractional subequation method for nonlinear fractional differential equations. Zbl 1264.35272
Zhao, Jianping; Tang, Bo; Kumar, Sunil; Hou, Yanren
2012
Symmetry reduction, exact solutions, and conservation laws of the ZK-BBM equation. Zbl 1247.35126
Zhang, Wenbin; Zhou, Jiangbo; Kumar, Sunil
2012
Analytical solution of fractional Black-Scholes European option pricing equation by using Laplace transform. Zbl 07441400
Kumar, Sunil; Yildirim, A.; Khan, Y.; Jafari, H.; Sayevand, K.; Wei, L.
2012
Fuzzy optimization of primal-dual pair using piecewise linear membership functions. Zbl 1289.90273
Pandey, D.; Kumar, S.
2012
A class of ratio-cum-product type estimators under double sampling in the presence of non-response. Zbl 1269.62026
Kumar, Sunil; Singh, Housila P.; Bhougal, Sandeep; Gupta, Rahul
2011
Combination of regression and ratio estimate in presence of nonresponse. Zbl 1298.62021
Singh, Housila P.; Kumar, Sunil
2011
An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction-diffusion equations. Zbl 1221.65179
Chandra Sekhara Rao, S.; Kumar, Sunil
2011
An efficient numerical method for a system of singularly perturbed semilinear reaction-diffusion equations. Zbl 1318.65055
Rao, S. Chandra Sekhara; Kumar, Sunil
2011
Homotopy perturbation method for solving system of generalized Abel’s integral equations. Zbl 1238.65131
Kumar, Sunil; Singh, Om P.; Dixit, Sandeep
2011
The instability of streaming Walters’ (model B’) fluids in porous medium in hydromagnetics. Zbl 1431.76126
Kumar, S.
2011
Uniform global convergence of a hybrid scheme for singularly perturbed reaction-diffusion systems. Zbl 1251.93082
Rao, S. C. S.; Kumar, S.; Kumar, M.
2011
An analytic algorithm for generalized Abel integral equation. Zbl 1238.65132
Kumar, Sunil; Singh, Om P.; Dixit, Sandeep
2011
Multivariate ratio estimation in presence of non-response in successive sampling. Zbl 1420.62052
Singh, Housila P.; Kumar, Sunil; Bhougal, Sandeep
2011
Improved estimation of finite-population mean using sub-sampling to deal with non response in two-phase sampling scheme. Zbl 1188.62079
Singh, Housila P.; Kumar, Sunil; Kozak, Marcin
2010
Estimation of mean in presence of non-response using two phase sampling scheme. Zbl 1247.62027
Singh, Housila P.; Kumar, Sunil
2010
Estimation of population product in presence of non-response in successive sampling. Zbl 1247.62028
Singh, Housila P.; Kumar, Sunil
2010
Improved estimation of population mean under two-phase sampling with subsampling the non-respondents. Zbl 1255.62029
Singh, Housila P.; Kumar, Sunil
2010
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### Cited by 1,342 Authors

 43 Applied Mathematics and Computation 39 Advances in Difference Equations 35 Journal of Computational and Applied Mathematics 31 Chaos, Solitons and Fractals 31 Fractals 25 Applied Numerical Mathematics 23 Operations Research 20 Queueing Systems 20 International Journal of Applied and Computational Mathematics 19 The Annals of Applied Probability 17 International Journal of Computer Mathematics 15 Communications in Statistics. Theory and Methods 15 Computational and Applied Mathematics 15 Boundary Value Problems 14 Abstract and Applied Analysis 12 European Journal of Operational Research 12 Stochastic Systems 11 Computers & Mathematics with Applications 11 Numerical Algorithms 11 Applied Mathematical Modelling 11 Journal of Function Spaces 10 Mathematics and Computers in Simulation 10 Journal of Integral Equations and Applications 10 AIMS Mathematics 8 Nonlinear Dynamics 8 Advances in Mathematical Physics 7 Mathematical Methods in the Applied Sciences 7 Mathematical Problems in Engineering 7 Journal of Statistical Theory and Practice 6 Applied Mathematics Letters 6 Journal of Mathematical Chemistry 6 Applications and Applied Mathematics 5 Journal of Computational Physics 5 Numerical Functional Analysis and Optimization 5 Operations Research Letters 5 Mathematical Finance 5 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Applied Mathematics and Computing 5 S$$\vec{\text{e}}$$MA Journal 5 Mathematical Sciences 4 Mathematics of Operations Research 4 Journal of Statistical Computation and Simulation 4 Journal of the Egyptian Mathematical Society 4 Complexity 4 Revista Investigación Operacional 4 Differential Equations and Dynamical Systems 4 Quantitative Finance 4 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 4 Symmetry 4 Journal of Applied Mathematics, Statistics and Informatics 4 Journal of Mathematical Modeling 3 SIAM Journal on Control and Optimization 3 Computers & Operations Research 3 Numerical Methods for Partial Differential Equations 3 Journal of Economic Dynamics & Control 3 Journal of Scientific Computing 3 Annals of Operations Research 3 Finance and Stochastics 3 Journal of Vibration and Control 3 Chaos 3 Fractional Calculus & Applied Analysis 3 Discrete Dynamics in Nature and Society 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Applied Mathematics 3 Stochastic Models 3 Mathematical Modelling of Natural Phenomena 3 International Journal of Biomathematics 3 Journal of Probability and Statistics 3 Journal of Mathematics and Computer Science. JMCS 3 Afrika Matematika 3 Mathematics 3 Iranian Journal of Numerical Analysis and Optimization 2 Advances in Applied Probability 2 Computer Methods in Applied Mechanics and Engineering 2 Indian Journal of Pure & Applied Mathematics 2 BIT 2 Calcolo 2 Computing 2 Journal of Applied Probability 2 Journal of Optimization Theory and Applications 2 Naval Research Logistics 2 Numerische Mathematik 2 Ricerche di Matematica 2 Mathematical and Computer Modelling 2 Discrete Event Dynamic Systems 2 Computational Mathematics and Mathematical Physics 2 Stochastic Processes and their Applications 2 International Journal of Robust and Nonlinear Control 2 The Journal of Analysis 2 Applied Mathematics. Series B (English Edition) 2 Acta Universitatis Matthiae Belii. Series Mathematics 2 Advances in Computational Mathematics 2 Journal of Difference Equations and Applications 2 Probability in the Engineering and Informational Sciences 2 Lobachevskii Journal of Mathematics 2 The ANZIAM Journal 2 Mathematical Modelling and Analysis 2 Journal of Systems Science and Complexity 2 Hacettepe Journal of Mathematics and Statistics ...and 94 more Serials