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Babolian, Esmail

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 Author ID: babolian.esmail Published as: Babolian, E.; Babolian, Esmail External Links: MGP · Wikidata · ResearchGate · dblp
 Documents Indexed: 145 Publications since 1979
all top 5

all top 5

Serials

 34 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 3 Computational Methods for Differential Equations 2 Computers & Mathematics with Applications 2 Chaos, Solitons and Fractals 2 Applied Numerical Mathematics 2 Nonlinear Studies 2 The Korean Journal of Computational & Applied Mathematics 2 Advances in Difference Equations 2 International Journal of Nonlinear Analysis and Applications 2 Mathematical Sciences 1 IMA Journal of Numerical Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Institute of Mathematics and its Applications 1 Mathematical Methods in the Applied Sciences 1 Southeast Asian Bulletin of Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Parallel Computing 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Far East Journal of Applied Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Far East Journal of Mathematical Sciences 1 Scientia Iranica 1 Discrete and Continuous Dynamical Systems. Series B 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Applications and Applied Mathematics 1 International Journal of Mathematical Analysis (Ruse) 1 Applied and Computational Mathematics 1 Journal of Mathematical Modeling 1 Iranian Journal of Numerical Analysis and Optimization
all top 5

Fields

 82 Numerical analysis (65-XX) 37 Integral equations (45-XX) 14 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 7 Approximations and expansions (41-XX) 6 Real functions (26-XX) 4 Biology and other natural sciences (92-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH

115 Publications have been cited 1,431 times in 990 Documents Cited by Year
Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration. Zbl 1117.65178
2007
Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions. Zbl 1189.65306
Babolian, E.; Masouri, Z.; Hatamzadeh-Varmazyar, S.
2009
Solution of the system of ordinary differential equations by Adomian decomposition method. Zbl 1034.65053
Biazar, J.; Babolian, E.; Islam, R.
2004
Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets. Zbl 1159.65102
Babolian, E.; Shahsavaran, A.
2009
The decomposition method applied to systems of Fredholm integral equations of the second kind. Zbl 1042.65104
Babolian, E.; Biazar, J.; Vahidi, A. R.
2004
Solution of nonlinear equations by modified Adomian decomposition method. Zbl 1023.65040
Babolian, E.; Biazar, J.
2002
Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method. Zbl 1062.65143
Babolian, E.; Goghary, H. Sadeghi; Abbasbandy, S.
2005
Solution of a system of Volterra integral equations of the first kind by Adomian method. Zbl 1027.65180
Biazar, J.; Babolian, E.; Islam, R.
2003
On the order of convergence of Adomian method. Zbl 1044.65043
Babolian, E.; Biazar, J.
2002
Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet. Zbl 06626265
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2017
Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions. Zbl 1221.65326
Babolian, E.; Bazm, S.; Lima, P.
2011
An alternate algorithm for computing Adomian polynomials in special cases. Zbl 1027.65076
Biazar, J.; Babolian, E.; Kember, G.; Nouri, A.; Islam, R.
2003
Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method. Zbl 1114.65367
Ghasemi, M.; Tavassoli Kajani, M.; Babolian, E.
2007
New method for calculating Adomian polynomials. Zbl 1055.65068
2004
A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Zbl 1358.65043
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2017
Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions. Zbl 1146.65082
Babolian, E.; Masouri, Z.
2008
Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Zbl 1137.65442
Abbasbandy, S.; Babolian, E.; Alavi, M.
2007
Numerical solution of linear integro-differential equation by using sine-cosine wavelets. Zbl 1102.65137
Kajani, M. Tavassoli; Ghasemi, M.; Babolian, E.
2006
An augmented Galerkin method for first kind Fredholm equations. Zbl 0428.65065
Babolian, E.; Delves, L. M.
1979
Some error estimates for solving Volterra integral equations by using the reproducing kernel method. Zbl 1295.65127
Ketabchi, R.; Mokhtari, R.; Babolian, E.
2015
On the decomposition method for system of linear equations and system of linear Volterra integral equations. Zbl 1032.65027
Babolian, E.; Biazar, J.; Vahidi, A. R.
2004
A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions. Zbl 1228.65243
2011
Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations. Zbl 1202.65168
Babolian, E.; Maleknejad, K.; Roodaki, M.; Almasieh, H.
2010
Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions. Zbl 1135.65043
Babolian, E.; Shamloo, A. Salimi
2008
Application of He’s homotopy perturbation method to nonlinear integro-differential equations. Zbl 1118.65394
Ghasemi, M.; Tavassoli Kajani, M.; Babolian, E.
2007
Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations. Zbl 1402.65061
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2018
Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations. Zbl 1375.65175
Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail
2017
Solution of a system of nonlinear equations by Adomian decomposition method. Zbl 1075.65073
Babolian, E.; Biazar, J.; Vahidi, A. R.
2004
Numerically solution of fuzzy differential equations by Adomian method. Zbl 1038.65056
2004
Solution of a system of nonlinear Volterra intergal equations of the second kind. Zbl 0979.65123
Babolian, E.; Biazar, J.
2000
An efficient approximate method for solving delay fractional optimal control problems. Zbl 1371.34016
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2016
Using triangular orthogonal functions for solving Fredholm integral equations of the second kind. Zbl 1147.65105
Babolian, E.; Marzban, H. R.; Salmani, M.
2008
Comparison between the homotopy perturbation method and the sine-cosine wavelet method for solving linear integro-differential equations. Zbl 1141.65397
Kajani, M. Tavassoli; Ghasemi, M.; Babolian, E.
2007
Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration. Zbl 1114.65366
2007
On numerical improvement of Gauss-Lobatto quadrature rules. Zbl 1070.65019
Eslahchi, M. R.; Masjed-Jamei, M.; Babolian, E.
2005
Restarted Adomian method for system of nonlinear Volterra integral equations. Zbl 1061.65148
2005
On numerical improvement of Gauss–Legendre quadrature rules. Zbl 1062.65028
Babolian, E.; Masjed-Jamei, M.; Eslahchi, M. R.
2005
Reducing index, and pseudospectral methods for differential-algebraic equations. Zbl 1042.65067
Babolian, E.; Hosseini, M. M.
2003
A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution. Zbl 1024.65071
Babolian, E.; Hosseini, M. M.
2002
Numerical solution of the generalized Zakharov equation by homotopy analysis method. Zbl 1221.65269
Abbasbandy, S.; Babolian, E.; Ashtiani, M.
2009
A new computational method for Laplace transforms by decomposition method. Zbl 1039.65094
Babolian, E.; Biazar, J.; Vahidi, A. R.
2004
Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method. Zbl 1366.65006
Taheri, Z.; Javadi, S.; Babolian, E.
2017
Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules. Zbl 1244.65236
Bazm, S.; Babolian, E.
2012
A numerical method for solving a class of functional and two-dimensional integral equations. Zbl 1137.65065
Babolian, E.; Abbasbandy, S.; Fattahzadeh, F.
2008
Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials. Zbl 1382.65189
Javadi, Shahnam; Babolian, Esmail; Taheri, Zeinab
2016
A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type. Zbl 1122.65409
Babolian, E.; Fattahzadeh, F.; Raboky, E. Golpar
2007
A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix. Zbl 1219.65158
2011
Interpolation of fuzzy data by natural splines. Zbl 0914.65001
Abbasbandy, S.; Babolian, E.
1998
Solving the problem of biological species living together by Adomian decomposition method. Zbl 1023.65144
Babolian, E.; Biazar, J.
2002
Using direct method for solving variational problems via triangular orthogonal functions. Zbl 1193.65196
Babolian, E.; Mokhtari, R.; Salmani, M.
2007
Numerical implementation of Adomian decomposition method for linear Volterra integral equations of the second kind. Zbl 1070.65134
Babolian, E.; Davari, A.
2005
An expansion-iterative method for numerically solving Volterra integral equation of the first kind. Zbl 1189.65309
Masouri, Z.; Babolian, E.; Hatamzadeh-Varmazyar, S.
2010
Numerical solution of fuzzy max-min systems. Zbl 1094.65035
Abbasbandy, S.; Babolian, E.; Allame, M.
2006
A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers’ equation. Zbl 1397.65206
2018
Fractional-order Bernoulli wavelets and their applications. Zbl 07162947
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2016
Numerical solutions of the nonlinear integro-differential equations: wavelet-Galerkin method and homotopy perturbation method. Zbl 1114.65368
Ghasemi, M.; Tavassoli kajani, M.; Babolian, E.
2007
Numerical implementation of Adomian decomposition method. Zbl 1048.65131
Babolian, E.; Davari, A.
2004
Restarted Adomian method for algebraic equations. Zbl 1032.65049
2003
Wavelet analysis method for solving linear and nonlinear singular boundary value problems. Zbl 1274.65224
Nasab, A. Kazemi; Kılıçman, A.; Babolian, E.; Atabakan, Z. Pashazadeh
2013
Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method. Zbl 1048.92013
Biazar, J.; Tango, M.; Babolian, E.; Islam, R.
2003
Restarted Adomian method for integral equations. Zbl 1048.65132
2004
Solution of a system of linear Volterra equations by Adomian decomposition method. Zbl 1012.65146
Babolian, E.; Biazar, J.
2002
Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations. Zbl 1447.65013
Erfani, S.; Babolian, E.; Javadi, S.; Shamsi, M.
2019
A collocation method for fractional diffusion equation in a long time with Chebyshev functions. Zbl 1427.65281
Baseri, A.; Abbasbandy, S.; Babolian, E.
2018
Error analysis of reproducing kernel Hilbert space method for solving functional integral equations. Zbl 1416.65527
2016
The approximate solution of a class of Fredholm integral equations with a weakly singular kernel. Zbl 1205.65331
Babolian, E.; Arzhang Hajikandi, A.
2011
System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method. Zbl 1189.65140
Saravi, M.; Babolian, E.; England, R.; Bromilow, M.
2010
Numerical solution of linear Fredholm integral equations using sine-cosine wavelets. Zbl 1122.65130
Ghasemi, M.; Babolian, E.; Kajani, M. Tavassoli
2007
Radial basis functions method for solving the fractional diffusion equations. Zbl 1429.65252
2019
Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation. Zbl 1422.65109
2018
An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method. Zbl 1336.35353
Babolian, E.; Vahidi, A. R.; Shoja, A.
2014
B-spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations. Zbl 1276.41009
Mahmoodi, Z.; Rashidinia, J.; Babolian, E.
2013
He’s homotopy perturbation method: an effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations. Zbl 1255.65236
Babolian, E.; Dastani, N.
2012
An interpolation degenerate kernel method for eigenvalue problems of a class of non-compact operators. Zbl 1204.47026
Majidian, H.; Babolian, E.
2010
Hybrid Fourier and block-pulse functions for applications in the calculus of variations. Zbl 1114.65071
Ghasemi, M.; Babolian, E.; Kajani, M. Tavssoli
2006
Solving differential equations by decomposition method. Zbl 1082.65560
Babolian, E.; Vahidi, A. R.; Cordshooli, Gh. Asadi
2005
Automatic augmented Galerkin algorithms for linear first kind integral equations: Non-singular and weak-singular kernels. Zbl 0865.65097
Abbasbandy, S.; Babolian, E.
1995
A numerical solution for one-dimensional parabolic equation based on pseudo-spectral integration matrix. Zbl 1312.65165
Babolian, E.; Gholami, S.; Javidi, M.
2014
Two dimensional block pulse functions and application to solve Volterra-Fredholm integral equations with Galerkin method. Zbl 1228.65244
Babolian, E.; Shaerlar, A. Jafari
2011
A modification of pseudo-spectral method for solving a linear ODEs with singularity. Zbl 1118.65091
Babolian, E.; Bromilow, M.; England, R.; Saravi, M.
2007
Automatic augmented Galerkin algorithms for Fredholm integral equations of the first kind. Zbl 0890.65137
Abbasbandy, S.; Babolian, E.
1997
Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two-point boundary value problems. Zbl 1433.65146
Erfani, S.; Babolian, E.; Javadi, S.
2020
Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions. Zbl 1438.65161
Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail
2017
Bernstein modal basis: application to the spectral Petrov-Galerkin method for fractional partial differential equations. Zbl 1382.65344
Jani, M.; Babolian, E.; Javadi, S.
2017
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation. Zbl 1380.65137
Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail
2017
A splitting iterative method for solving second kind integral equations in reproducing kernel spaces. Zbl 1370.65074
2017
A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type. Zbl 1354.65281
Shoja, A.; Vahidi, A. R.; Babolian, E.
2017
A numerical scheme for space-time fractional advection-dispersion equation. Zbl 06699928
Javadi, Shahnam; Jani, Mostafa; Babolian, Esmail
2016
RKM for solving Bratu-type differential equations of fractional order. Zbl 1350.65080
2016
A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems. Zbl 1318.65043
Babolian, Esmail; Eftekhari, Ali; Saadatmandi, Abbas
2015
Spline collocation for Fredholm integral equation. Zbl 1304.65277
Rashidinia, J.; Babolian, E.; Mahmoodi, Z.
2011
Numerical computation of the Riemann zeta function and prime counting function by using Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1206.11103
Babolian, E.; Hajikandi, A. Arzhang
2010
Numerical solution of Fredholm integro-differential equation by Adomian’s decomposition method. Zbl 1198.65257
2009
Solving concrete examples by Adomian method. Zbl 1023.65139
Babolian, E.; Biazar, J.
2003
An automatic augmented Galerkin method for singular integral equations with Hilbert kernel. Zbl 0984.65144
Abbasbandy, S.; Babolian, E.
2001
Fractional pseudospectral integration/differentiation matrix and fractional differential equations. Zbl 1428.74225
Gholami, Saeid; Babolian, Esmail; Javidi, Mohammad
2019
LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. Zbl 1438.65042
Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E.
2019
An approximate method for solution of nonlocal boundary value problems via Gaussian radial basis functions. Zbl 1422.65283
Khaksarfard, M.; Ordokhani, Y.; Babolian, E.
2019
Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations. Zbl 1426.65221
2019
Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation. Zbl 1394.76068
Jani, M.; Javadi, S.; Babolian, E.; Bhatta, D.
2018
Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two-point boundary value problems. Zbl 1433.65146
Erfani, S.; Babolian, E.; Javadi, S.
2020
Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations. Zbl 1447.65013
Erfani, S.; Babolian, E.; Javadi, S.; Shamsi, M.
2019
Radial basis functions method for solving the fractional diffusion equations. Zbl 1429.65252
2019
Fractional pseudospectral integration/differentiation matrix and fractional differential equations. Zbl 1428.74225
Gholami, Saeid; Babolian, Esmail; Javidi, Mohammad
2019
LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. Zbl 1438.65042
Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E.
2019
An approximate method for solution of nonlocal boundary value problems via Gaussian radial basis functions. Zbl 1422.65283
Khaksarfard, M.; Ordokhani, Y.; Babolian, E.
2019
Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations. Zbl 1426.65221
2019
Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations. Zbl 1402.65061
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2018
A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers’ equation. Zbl 1397.65206
2018
A collocation method for fractional diffusion equation in a long time with Chebyshev functions. Zbl 1427.65281
Baseri, A.; Abbasbandy, S.; Babolian, E.
2018
Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation. Zbl 1422.65109
2018
Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation. Zbl 1394.76068
Jani, M.; Javadi, S.; Babolian, E.; Bhatta, D.
2018
Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet. Zbl 06626265
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2017
A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Zbl 1358.65043
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2017
Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations. Zbl 1375.65175
Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail
2017
Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method. Zbl 1366.65006
Taheri, Z.; Javadi, S.; Babolian, E.
2017
Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions. Zbl 1438.65161
Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail
2017
Bernstein modal basis: application to the spectral Petrov-Galerkin method for fractional partial differential equations. Zbl 1382.65344
Jani, M.; Babolian, E.; Javadi, S.
2017
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation. Zbl 1380.65137
Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail
2017
A splitting iterative method for solving second kind integral equations in reproducing kernel spaces. Zbl 1370.65074
2017
A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type. Zbl 1354.65281
Shoja, A.; Vahidi, A. R.; Babolian, E.
2017
Normalized Bernstein polynomials in solving space-time fractional diffusion equation. Zbl 1444.65057
Baseri, A.; Babolian, E.; Abbasbandy, S.
2017
Chebyshev reproducing kernel method: application to two-point boundary value problems. Zbl 1422.34104
Khaleghi, M.; Babolian, E.; Abbasbandy, S.
2017
A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives. Zbl 1422.65057
Jahanshahi, S.; Babolian, E.; Torres, D. F. M.; Vahidi, A. R.
2017
Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation. Zbl 06787453
Jani, M.; Babolian, E.; Javadi, S.; Bhatta, D.
2017
Bernstein multiscaling polynomials and application by solving Volterra integral equations. Zbl 1372.65349
Mohamadi, M.; Babolian, E.; Yousefi, S. A.
2017
An efficient approximate method for solving delay fractional optimal control problems. Zbl 1371.34016
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2016
Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials. Zbl 1382.65189
Javadi, Shahnam; Babolian, Esmail; Taheri, Zeinab
2016
Fractional-order Bernoulli wavelets and their applications. Zbl 07162947
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2016
Error analysis of reproducing kernel Hilbert space method for solving functional integral equations. Zbl 1416.65527
2016
A numerical scheme for space-time fractional advection-dispersion equation. Zbl 06699928
Javadi, Shahnam; Jani, Mostafa; Babolian, Esmail
2016
RKM for solving Bratu-type differential equations of fractional order. Zbl 1350.65080
2016
Numerical method for solving arbitrary linear differential equations using a set of orthogonal basis functions and operational matrix. Zbl 1443.65105
Hatamzadeh-Varmazyar, Saeed; Masouri, Zahra; Babolian, Esmail
2016
Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation. Zbl 1424.65186
Gholami, Saeid; Babolian, Esmail; Javidi, Mohammad
2016
The explicit formulas for reproducing kernel of some Hilbert spaces. Zbl 1349.46027
2016
Some error estimates for solving Volterra integral equations by using the reproducing kernel method. Zbl 1295.65127
Ketabchi, R.; Mokhtari, R.; Babolian, E.
2015
A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems. Zbl 1318.65043
Babolian, Esmail; Eftekhari, Ali; Saadatmandi, Abbas
2015
Erratum to: “An adaptive weak continuous Euler-Maruyama method for stochastic delay differential equations”. Zbl 1330.65013
Akhtari, B.; Babolian, E.; Bastani, A. Foroush
2015
An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method. Zbl 1336.35353
Babolian, E.; Vahidi, A. R.; Shoja, A.
2014
A numerical solution for one-dimensional parabolic equation based on pseudo-spectral integration matrix. Zbl 1312.65165
Babolian, E.; Gholami, S.; Javidi, M.
2014
Wavelet analysis method for solving linear and nonlinear singular boundary value problems. Zbl 1274.65224
Nasab, A. Kazemi; Kılıçman, A.; Babolian, E.; Atabakan, Z. Pashazadeh
2013
B-spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations. Zbl 1276.41009
Mahmoodi, Z.; Rashidinia, J.; Babolian, E.
2013
Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules. Zbl 1244.65236
Bazm, S.; Babolian, E.
2012
He’s homotopy perturbation method: an effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations. Zbl 1255.65236
Babolian, E.; Dastani, N.
2012
Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions. Zbl 1221.65326
Babolian, E.; Bazm, S.; Lima, P.
2011
A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions. Zbl 1228.65243
2011
A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix. Zbl 1219.65158
2011
The approximate solution of a class of Fredholm integral equations with a weakly singular kernel. Zbl 1205.65331
Babolian, E.; Arzhang Hajikandi, A.
2011
Two dimensional block pulse functions and application to solve Volterra-Fredholm integral equations with Galerkin method. Zbl 1228.65244
Babolian, E.; Shaerlar, A. Jafari
2011
Spline collocation for Fredholm integral equation. Zbl 1304.65277
Rashidinia, J.; Babolian, E.; Mahmoodi, Z.
2011
Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations. Zbl 1202.65168
Babolian, E.; Maleknejad, K.; Roodaki, M.; Almasieh, H.
2010
An expansion-iterative method for numerically solving Volterra integral equation of the first kind. Zbl 1189.65309
Masouri, Z.; Babolian, E.; Hatamzadeh-Varmazyar, S.
2010
System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method. Zbl 1189.65140
Saravi, M.; Babolian, E.; England, R.; Bromilow, M.
2010
An interpolation degenerate kernel method for eigenvalue problems of a class of non-compact operators. Zbl 1204.47026
Majidian, H.; Babolian, E.
2010
Numerical computation of the Riemann zeta function and prime counting function by using Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1206.11103
Babolian, E.; Hajikandi, A. Arzhang
2010
Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions. Zbl 1189.65306
Babolian, E.; Masouri, Z.; Hatamzadeh-Varmazyar, S.
2009
Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets. Zbl 1159.65102
Babolian, E.; Shahsavaran, A.
2009
Numerical solution of the generalized Zakharov equation by homotopy analysis method. Zbl 1221.65269
Abbasbandy, S.; Babolian, E.; Ashtiani, M.
2009
Numerical solution of Fredholm integro-differential equation by Adomian’s decomposition method. Zbl 1198.65257
2009
Restarted Adomian’s decomposition method for Duffing’s equation. Zbl 1197.65083
Vahidia, A. R.; Babolian, E.; Cordshooli, G. H. Asadi; Samiee, F.
2009
Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions. Zbl 1146.65082
Babolian, E.; Masouri, Z.
2008
Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions. Zbl 1135.65043
Babolian, E.; Shamloo, A. Salimi
2008
Using triangular orthogonal functions for solving Fredholm integral equations of the second kind. Zbl 1147.65105
Babolian, E.; Marzban, H. R.; Salmani, M.
2008
A numerical method for solving a class of functional and two-dimensional integral equations. Zbl 1137.65065
Babolian, E.; Abbasbandy, S.; Fattahzadeh, F.
2008
Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration. Zbl 1117.65178
2007
Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method. Zbl 1114.65367
Ghasemi, M.; Tavassoli Kajani, M.; Babolian, E.
2007
Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Zbl 1137.65442
Abbasbandy, S.; Babolian, E.; Alavi, M.
2007
Application of He’s homotopy perturbation method to nonlinear integro-differential equations. Zbl 1118.65394
Ghasemi, M.; Tavassoli Kajani, M.; Babolian, E.
2007
Comparison between the homotopy perturbation method and the sine-cosine wavelet method for solving linear integro-differential equations. Zbl 1141.65397
Kajani, M. Tavassoli; Ghasemi, M.; Babolian, E.
2007
Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration. Zbl 1114.65366
2007
A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type. Zbl 1122.65409
Babolian, E.; Fattahzadeh, F.; Raboky, E. Golpar
2007
Using direct method for solving variational problems via triangular orthogonal functions. Zbl 1193.65196
Babolian, E.; Mokhtari, R.; Salmani, M.
2007
Numerical solutions of the nonlinear integro-differential equations: wavelet-Galerkin method and homotopy perturbation method. Zbl 1114.65368
Ghasemi, M.; Tavassoli kajani, M.; Babolian, E.
2007
Numerical solution of linear Fredholm integral equations using sine-cosine wavelets. Zbl 1122.65130
Ghasemi, M.; Babolian, E.; Kajani, M. Tavassoli
2007
A modification of pseudo-spectral method for solving a linear ODEs with singularity. Zbl 1118.65091
Babolian, E.; Bromilow, M.; England, R.; Saravi, M.
2007
Numerical implementation of the Adomian decomposition method for nonlinear Volterra integral equations of the second kind. Zbl 1115.65392
Javadi, Sh.; Davari, A.; Babolian, E.
2007
Numerical solution of linear integro-differential equation by using sine-cosine wavelets. Zbl 1102.65137
Kajani, M. Tavassoli; Ghasemi, M.; Babolian, E.
2006
Numerical solution of fuzzy max-min systems. Zbl 1094.65035
Abbasbandy, S.; Babolian, E.; Allame, M.
2006
Hybrid Fourier and block-pulse functions for applications in the calculus of variations. Zbl 1114.65071
Ghasemi, M.; Babolian, E.; Kajani, M. Tavssoli
2006
On numerical integration methods with $$T$$-distribution weight function. Zbl 1090.65032
Babolian, E.; Masjed-Jamei, M.; Eslahchi, M. R.; Dehghan, Mehdi
2006
Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method. Zbl 1062.65143
Babolian, E.; Goghary, H. Sadeghi; Abbasbandy, S.
2005
On numerical improvement of Gauss-Lobatto quadrature rules. Zbl 1070.65019
Eslahchi, M. R.; Masjed-Jamei, M.; Babolian, E.
2005
Restarted Adomian method for system of nonlinear Volterra integral equations. Zbl 1061.65148
2005
On numerical improvement of Gauss–Legendre quadrature rules. Zbl 1062.65028
Babolian, E.; Masjed-Jamei, M.; Eslahchi, M. R.
2005
Numerical implementation of Adomian decomposition method for linear Volterra integral equations of the second kind. Zbl 1070.65134
Babolian, E.; Davari, A.
2005
Solving differential equations by decomposition method. Zbl 1082.65560
Babolian, E.; Vahidi, A. R.; Cordshooli, Gh. Asadi
2005
Solution of the system of ordinary differential equations by Adomian decomposition method. Zbl 1034.65053
Biazar, J.; Babolian, E.; Islam, R.
2004
The decomposition method applied to systems of Fredholm integral equations of the second kind. Zbl 1042.65104
Babolian, E.; Biazar, J.; Vahidi, A. R.
2004
New method for calculating Adomian polynomials. Zbl 1055.65068
2004
On the decomposition method for system of linear equations and system of linear Volterra integral equations. Zbl 1032.65027
Babolian, E.; Biazar, J.; Vahidi, A. R.
2004
Solution of a system of nonlinear equations by Adomian decomposition method. Zbl 1075.65073
Babolian, E.; Biazar, J.; Vahidi, A. R.
2004
Numerically solution of fuzzy differential equations by Adomian method. Zbl 1038.65056
2004
A new computational method for Laplace transforms by decomposition method. Zbl 1039.65094
Babolian, E.; Biazar, J.; Vahidi, A. R.
2004
Numerical implementation of Adomian decomposition method. Zbl 1048.65131
Babolian, E.; Davari, A.
2004
Restarted Adomian method for integral equations. Zbl 1048.65132
2004
Solution of a system of Volterra integral equations of the first kind by Adomian method. Zbl 1027.65180
Biazar, J.; Babolian, E.; Islam, R.
2003
An alternate algorithm for computing Adomian polynomials in special cases. Zbl 1027.65076
Biazar, J.; Babolian, E.; Kember, G.; Nouri, A.; Islam, R.
2003
Reducing index, and pseudospectral methods for differential-algebraic equations. Zbl 1042.65067
Babolian, E.; Hosseini, M. M.
2003
Restarted Adomian method for algebraic equations. Zbl 1032.65049
2003
Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method. Zbl 1048.92013
Biazar, J.; Tango, M.; Babolian, E.; Islam, R.
2003
...and 15 more Documents
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all top 5

Cited in 155 Serials

 205 Applied Mathematics and Computation 73 Journal of Computational and Applied Mathematics 41 Computers & Mathematics with Applications 32 International Journal of Computer Mathematics 31 Computational and Applied Mathematics 30 Applied Numerical Mathematics 28 International Journal of Applied and Computational Mathematics 27 Applied Mathematical Modelling 24 Abstract and Applied Analysis 22 Chaos, Solitons and Fractals 22 Communications in Nonlinear Science and Numerical Simulation 19 Mathematical and Computer Modelling 16 Journal of Applied Mathematics 15 Numerical Algorithms 15 Mathematical Problems in Engineering 14 Mathematical Sciences 13 Soft Computing 12 Fuzzy Sets and Systems 11 Numerical Methods for Partial Differential Equations 11 Advances in Difference Equations 10 Journal of the Egyptian Mathematical Society 10 Turkish Journal of Mathematics 10 S$$\vec{\text{e}}$$MA Journal 9 Mathematical Methods in the Applied Sciences 9 Engineering Analysis with Boundary Elements 9 Mediterranean Journal of Mathematics 8 Journal of the Franklin Institute 8 Mathematics and Computers in Simulation 7 Applied Mathematics Letters 7 Journal of Applied Mathematics and Computing 6 Information Sciences 6 Journal of Mathematical Chemistry 6 International Journal of Biomathematics 5 Kybernetes 5 Nonlinear Dynamics 5 Discrete Dynamics in Nature and Society 5 Journal of Intelligent and Fuzzy Systems 5 Discrete and Continuous Dynamical Systems. Series S 5 Asian-European Journal of Mathematics 5 Journal of Nonlinear Science and Applications 4 Journal of Computational Physics 4 Journal of Mathematical Analysis and Applications 4 Journal of Vibration and Control 4 International Journal of Wavelets, Multiresolution and Information Processing 4 Tbilisi Mathematical Journal 4 Numerical Algebra, Control and Optimization 4 Journal of Mathematics 4 Mathematics 4 Journal of Applied Mathematics, Statistics and Informatics 3 Applicable Analysis 3 Stochastic Analysis and Applications 3 Journal of Integral Equations and Applications 3 European Journal of Mechanics. A. Solids 3 Advances in Mathematical Physics 3 Advances in Fuzzy Systems 3 Journal of Linear and Topological Algebra 2 International Journal of Modern Physics B 2 International Journal of Control 2 International Journal of Solids and Structures 2 Calcolo 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Journal of Scientific Computing 2 Computational Mathematics and Mathematical Physics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Complexity 2 Taiwanese Journal of Mathematics 2 Chaos 2 Journal of Interdisciplinary Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Dynamical Systems and Geometric Theories 2 Iranian Journal of Fuzzy Systems 2 Applications and Applied Mathematics 2 International Journal of Differential Equations 2 International Journal for Numerical Methods in Biomedical Engineering 2 Symmetry 2 Afrika Matematika 2 Arabian Journal for Science and Engineering 2 Fuzzy Information and Engineering 2 Journal of Mathematical Modeling 2 Wavelets and Linear Algebra 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Systems Science 1 Linear and Multilinear Algebra 1 Transport Theory and Statistical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Prikladnaya Matematika i Mekhanika 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Optimal Control Applications & Methods ...and 55 more Serials
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Cited in 48 Fields

 803 Numerical analysis (65-XX) 396 Integral equations (45-XX) 223 Ordinary differential equations (34-XX) 130 Partial differential equations (35-XX) 86 Real functions (26-XX) 46 Approximations and expansions (41-XX) 35 Fluid mechanics (76-XX) 34 Biology and other natural sciences (92-XX) 30 Probability theory and stochastic processes (60-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 26 Special functions (33-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Operator theory (47-XX) 16 Functional analysis (46-XX) 16 Mechanics of deformable solids (74-XX) 16 Systems theory; control (93-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Integral transforms, operational calculus (44-XX) 11 Computer science (68-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Mathematical logic and foundations (03-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 3 Astronomy and astrophysics (85-XX) 3 Mathematics education (97-XX) 2 Combinatorics (05-XX) 2 General algebraic systems (08-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

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