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## Motsa, Sandile Sydney

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 Author ID: motsa.sandile-sydney Published as: Motsa, S. S.; Motsa, Sandile S.; Motsa, Sandile Sydney; Motsa, Sandile
 Documents Indexed: 122 Publications since 2002
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#### Co-Authors

 6 single-authored 43 Sibanda, Precious 33 Shateyi, Stanford 30 Behl, Ramandeep 13 Argyros, Ioannis Konstantinos 10 Makukula, Zodwa G. 7 Maroju, Prashanth 6 Cordero, Alicia 6 Khumalo, Melusi 6 Torregrosa Sanchez, Juan Ramón 5 Awad, Faiz Gadelmola 5 Dlamini, Phumlani Goodwill 5 Makinde, Oluwole Daniel 5 Marewo, Gerald T. 3 Effati, Sohrab 3 Khan, Yasir 3 Mondal, Sabyasachi 2 González, Daniel 2 Goqo, Sicelo P. 2 Gupta, Dharmendra Kumar 2 Haroun, Nageeb A. H. 2 Kameswaran, Peri K. 2 Kanwar, Vinay 2 Magagula, Vusi Mpendulo 2 Magreñán, Ángel Alberto 2 Otegbeye, Olumuyiwa 2 Prashanth, Maroju 2 Samuel, F. M. 2 Soleymani, Fazlollah 1 Abbas, A. J. 1 Aldossary, Omar M. 1 Alshomrani, Ali Saleh 1 Amat, Sergio P. 1 Animasaun, Isaac Lare 1 Ayano, Mekonnen Shiferaw 1 Babajee, Diyashvir Kreetee Rajiv 1 Bég, O. Anwar 1 Bég, Tasveer A. 1 Gajjar, Jitesh S. B. 1 Hayat, Tasawar 1 Kadir, Ali 1 Kansal, Munish 1 Kim, Young Ik 1 Kumar, Abhimanyu 1 Kumar, Sunil 1 Mondal, Hiranmoy 1 Murthy, Prabhala V. S. N. 1 Muzhinji, K. 1 Narayana, Mahesha 1 Narayana, P. A. Lakshmi 1 Ngnotchouye, Jean-Medard T. 1 Nik, H. Saberi 1 RamReddy, Chetteti 1 Rashidi, Mohammad Mehdi 1 Saberi-Nadjafi, Jafar 1 Sarría, Ínigo 1 Shirazian, Mohammad 1 Siddheshwar, Pradeep G. 1 Sithole, Hloniphile 1 Sohail, Ayesha 1 Surender, O. 1 Venkata Rao, Ch.
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#### Serials

 16 Mathematical Problems in Engineering 9 Applied Mathematics and Computation 8 Journal of Applied Mathematics 7 Numerical Algorithms 7 Boundary Value Problems 6 International Journal of Computational Methods 5 Journal of Computational and Applied Mathematics 5 Abstract and Applied Analysis 5 Advances in Mathematical Physics 3 Applicationes Mathematicae 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Far East Journal of Applied Mathematics 3 Algorithms 2 Archives of Mechanics 2 Computers & Mathematics with Applications 2 International Journal for Numerical Methods in Fluids 2 Computational and Applied Mathematics 2 Journal of Mathematical Chemistry 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 The ANZIAM Journal 2 International Journal of Computing Science and Mathematics 1 Computers and Fluids 1 International Journal of Heat and Mass Transfer 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Numerical Mathematics 1 Journal of Complexity 1 Applied Mathematical Modelling 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Nonlinear Dynamics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Communications in Nonlinear Science and Numerical Simulation 1 Computer Assisted Mechanics and Engineering Sciences 1 Journal of Numerical Mathematics 1 Theoretical and Applied Mechanics 1 JP Journal of Heat and Mass Transfer 1 Applied and Computational Mathematics 1 Afrika Matematika 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 International Journal of Applied and Computational Mathematics
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#### Fields

 72 Numerical analysis (65-XX) 59 Fluid mechanics (76-XX) 22 Classical thermodynamics, heat transfer (80-XX) 13 Partial differential equations (35-XX) 10 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

88 Publications have been cited 546 times in 297 Documents Cited by Year
A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem. Zbl 1242.76363
Motsa, S. S.; Sibanda, P.; Awad, F. G.; Shateyi, S.
2010
A new spectral-homotopy analysis method for solving a nonlinear second order BVP. Zbl 1222.65090
Motsa, S. S.; Sibanda, P.; Shateyi, S.
2010
On a new method for computing the numerical solution of systems of nonlinear equations. Zbl 1268.65075
Montazeri, H.; Soleymani, F.; Shateyi, S.; Motsa, S. S.
2012
On developing fourth-order optimal families of methods for multiple roots and their dynamics. Zbl 1410.65147
Behl, Ramandeep; Cordero, Alicia; Motsa, S. S.; Torregrosa, Juan R.
2015
An optimal fourth-order family of methods for multiple roots and its dynamics. Zbl 1339.65065
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.; Kanwar, Vinay
2016
Convection from an inverted cone in a porous medium with cross-diffusion effects. Zbl 1217.76071
Awad, F. G.; Sibanda, P.; Motsa, S. S.; Makinde, O. D.
2011
A novel numerical technique for two-dimensional laminar flow between two moving porous walls. Zbl 1195.76387
Makukula, Zodwa G.; Sibanda, Precious; Motsa, Sandile S.
2010
Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect. Zbl 1195.76438
Shateyi, S.; Motsa, S. S.
2010
Spectral relaxation method and spectral quasilinearization method for solving unsteady boundary layer flow problems. Zbl 1291.76104
Motsa, S. S.; Dlamini, P. G.; Khumalo, M.
2014
A new algorithm for solving singular IVPs of Lane-Emden type. Zbl 1343.65087
Motsa, Sandile S.; Sibanda, Precious
2010
On the linear stability analysis of a Maxwell fluid with double-diffusive convection. Zbl 1201.76013
Awad, F. G.; Sibanda, P.; Motsa, Sandile S.
2010
A note on the solution of the von Kármán equations using series and Chebyshev spectral methods. Zbl 1207.35248
Makukula, Zodwa G.; Sibanda, Precious; Motsa, Sandile Sydney
2010
Construction of optimal derivative-free techniques without memory. Zbl 1268.65069
Soleymani, F.; Babajee, D. K. R.; Shateyi, S.; Motsa, S. S.
2012
A new approach for the solution of three-dimensional magnetohydrodynamic rotating flow over a shrinking sheet. Zbl 1202.76157
Motsa, S. S.; Shateyi, S.
2010
The effects of thermal radiation, Hall currents, Soret, and Dufour on MHD flow by mixed convection over a vertical surface in porous media. Zbl 1333.76075
Shateyi, Stanford; Motsa, Sandile Sydney; Sibanda, Precious
2010
A new spectral local linearization method for nonlinear boundary layer flow problems. Zbl 1397.65119
Motsa, S. S.
2013
Solving hyperchaotic systems using the spectral relaxation method. Zbl 1256.65102
Motsa, S. S.; Dlamini, P. G.; Khumalo, M.
2012
Thermal radiation effects on heat and mass transfer over an unsteady stretching surface. Zbl 1191.80029
Shateyi, Stanford; Motsa, Sandile Sydney
2009
On a new quasi-linearization method for systems of nonlinear boundary value problems. Zbl 1414.76005
Motsa, S. S.; Sibanda, P.; Shateyi, S.
2011
Some modifications of the quasilinearization method with higher-order convergence for solving nonlinear BVPs. Zbl 1271.65115
Motsa, Sandile S.; Sibanda, Precious
2013
A spectral-homotopy analysis method for heat transfer flow of a third grade fluid between parallel plates. Zbl 1356.80073
Sibanda, Precious; Motsa, Sandile; Makukula, Zodwa
2012
A spectral relaxation approach for unsteady boundary-layer flow and heat transfer of a nanofluid over a permeable stretching/shrinking sheet. Zbl 1291.76105
Motsa, S. S.; Sibanda, P.; Ngnotchouye, J. M.; Marewo, G. T.
2014
On the comparison between compact finite difference and pseudospectral approaches for solving similarity boundary layer problems. Zbl 1299.76169
Dlamini, P. G.; Motsa, S. S.; Khumalo, M.
2013
An improved spectral homotopy analysis method for MHD flow in a semi-porous channel. Zbl 1427.76217
Motsa, Sandile Sydney; Shateyi, Stanford; Marewo, Gerald T.; Sibanda, Precious
2012
Construction of fourth-order optimal families of iterative methods and their dynamics. Zbl 1410.65146
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.
2015
Stable high-order iterative methods for solving nonlinear models. Zbl 1411.65074
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.
2017
An improved spectral homotopy analysis method for solving boundary layer problems. Zbl 1270.35023
Motsa, Sandile S.; Marewo, Gerald T.; Sibanda, Precious; Shateyi, Stanford
2011
The effects of chemical reaction, Hall, and ion-slip currents on MHD micropolar fluid flow with thermal diffusivity using a novel numerical technique. Zbl 1235.76112
Motsa, S. S.; Shateyi, S.
2012
A family of higher order iterations free from second derivative for nonlinear equations in $$\mathbb{R}$$. Zbl 1376.65081
Kumar, Abhimanyu; Maroju, P.; Behl, R.; Gupta, D. K.; Motsa, S. S.
2018
On a new quasi-linearisation method for heat transfer in a visco-elastic fluid between parallel plates. Zbl 1341.80019
Makukula, Zodwa G.; Sibanda, Precious; Motsa, Sandile S.
2010
Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems. Zbl 1284.65080
Saberi Nik, H.; Effati, S.; Motsa, S. S.; Shirazian, M.
2014
On new numerical techniques for the MHD flow past a shrinking sheet with heat and mass transfer in the presence of a chemical reaction. Zbl 1235.76108
Makukula, Z. G.; Sibanda, P.; Motsa, S. S.; Shateyi, S.
2011
On the solution of MHD flow over a nonlinear stretching sheet by an efficient semi-analytical technique. Zbl 1426.76510
Motsa, S. S.; Sibanda, P.
2012
On the practical use of the spectral homotopy analysis method and local linearisation method for unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1299.76192
Motsa, Sandile S.
2014
A new piecewise spectral homotopy analysisof the Michaelis-Menten enzymatic reactions model. Zbl 1296.65099
Shateyi, S.; Motsa, S. S.; Khan, Y.
2014
A new numerical solution of Maxwell fluid over a shrinking sheet in the region of a stagnation point. Zbl 1264.76011
Motsa, Sandile Sydney; Khan, Yasir; Shateyi, Stanford
2012
MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method. Zbl 1266.76007
Motsa, S. S.; Hayat, T.; Aldossary, O. M.
2012
Application of the new spectral homotopy analysis method (Sham) in the non-linear heat conduction and convective fin problem with variable thermal conductivity. Zbl 1359.80015
Motsa, S. S.
2012
A new piecewise-spectral homotopy analysis method for solving chaotic systems of initial value problems. Zbl 1299.34047
Saberi Nik, H.; Effati, Sohrab; Motsa, Sandile S.; Shateyi, Stanford
2013
Spectral local linearisation approach for natural convection boundary layer flow. Zbl 1299.76057
Motsa, S. S.; Makukula, Z. G.; Shateyi, S.
2013
A linearisation method for non-linear singular boundary value problems. Zbl 1247.65098
Motsa, Sandile Sydney; Sibanda, Precious
2012
On a new analytical method for flow between two inclined walls. Zbl 1358.76058
Motsa, Sandile S.; Sibanda, Precious; Marewo, Gerald T.
2012
Higher-order efficient class of Chebyshev-Halley type methods. Zbl 1410.65164
Kim, Young Ik; Behl, Ramandeep; Motsa, S. S.
2016
Hydromagnetic stability of generalized plane Couette flow. Zbl 1003.76032
Makinde, O. D.; Motsa, S. S.
2002
On double-diffusive convection and cross diffusion effects on a horizontal wavy surface in a porous medium. Zbl 1277.76107
Narayana, M.; Sibanda, P.; Motsa, S. S.; Siddheshwar, P. G.
2012
New analytic solution to the Lane-Emden equation of index 2. Zbl 1264.65130
Motsa, S. S.; Shateyi, Stanford
2012
A note on the solutions of the Van der Pol and Duffing equations using a linearisation method. Zbl 1264.34068
Motsa, Sandile S.; Sibanda, Precious
2012
A family of second derivative free fourth order continuation method for solving nonlinear equations. Zbl 1357.65056
Behl, R.; Maroju, P.; Motsa, S. S.
2017
An optimal scheme for multiple roots of nonlinear equations with eighth-order convergence. Zbl 1407.65050
Behl, Ramandeep; Alshomrani, Ali Saleh; Motsa, S. S.
2018
On unsteady MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection using the spectral relaxation method. Zbl 1315.35168
Haroun, Nageeb A.; Sibanda, Precious; Mondal, Sabyasachi; Motsa, Sandile S.
2015
Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations. Zbl 1390.37077
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.
2018
The effect of heating/cooling on the upper-branch stability of boundary layer flows over a compliant boundary. Zbl 1016.76023
Motsa, Sandile S.; Gajjar, Jitesh S. B.; Sibanda, Precious
2002
Newton’s method on generalized Banach spaces. Zbl 1386.65149
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2016
Application of successive linearisation method to squeezing flow with bifurcation. Zbl 1302.76142
Motsa, S. S.; Makinde, O. D.; Shateyi, S.
2014
Numerical study of free convection in a doubly stratified non-Darcy porous medium using spectral quasilinearization method. Zbl 1401.76128
Srinivasacharya, D.; Motsa, Sandile S.; Surender, O.
2015
A successive linearization method approach to solve Lane-Emden type of equations. Zbl 1264.65104
Motsa, S. S.; Shateyi, S.
2012
Successive linearization analysis of the effects of partial slip, thermal diffusion, and diffusion-thermo on steady MHD convective flow due to a rotating disk. Zbl 1264.76126
Motsa, S. S.; Shateyi, S.
2012
Some novel and optimal families of King’s method with eighth and sixteenth-order of convergence. Zbl 1357.65060
Maroju, P.; Behl, Ramandeep; Motsa, S. S.
2017
Unifying semilocal and local convergence of Newton’s method on Banach space with a convergence structure. Zbl 1358.65035
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2017
The spectral homotopy analysis method extended to systems of partial differential equations. Zbl 1468.65215
Motsa, S. S.; Awad, F. G.; Makukula, Z. G.; Sibanda, P.
2014
On an interpolation based spectral homotopy analysis method for PDE based unsteady boundary layer flows. Zbl 07023190
Motsa, S. S.
2014
Local convergence of an optimal eighth order method under weak conditions. Zbl 1461.65072
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2015
Local convergence of an efficient high convergence order method using hypothesis only on the first derivative. Zbl 1461.65099
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2015
An efficient optimal family of sixteenth order methods for nonlinear models. Zbl 1434.65078
Behl, Ramandeep; Amat, S.; Magreñán, Á. A.; Motsa, S. S.
2019
A new bivariate spectral collocation method with quadratic convergence for systems of nonlinear coupled differential equations. Zbl 1427.76181
Magagula, V. M.; Motsa, S. S.; Sibanda, P.
2019
On the stability analysis of thermally stratified channel flow with a compliant boundary. Zbl 1025.76009
Motsa, Sandile S.; Sibanda, P.
2003
An asymptotic analysis of convection in boundary-layer flows in the presence of a chemical reaction. Zbl 1105.76027
Shateyi, S.; Sibanda, P.; Motsa, S. S.
2005
A note on improved homotopy analysis method for solving the Jeffery-Hamel flow. Zbl 1285.76030
Motsa, Sandile Sydney; Sibanda, Precious; Marewo, Gerald T.; Shateyi, Stanford
2010
Investigation of compliancy effects on the inviscid instability in fluid flow over a flat plate with heat transfer. Zbl 1231.76100
Motsa, S. S.; Sibanda, P.
2005
Numerical simulation of couple stress nanofluid flow in magneto-porous medium with thermal radiation and a chemical reaction. Zbl 1428.76204
Sithole, Hloniphile; Mondal, Hiranmoy; Goqo, Sicelo; Sibanda, Precious; Motsa, Sandile
2018
Heat and mass transfer of nanofluid through an impulsively vertical stretching surface using the spectral relaxation method. Zbl 1342.35388
Haroun, Nageeb A. H.; Sibanda, Precious; Mondal, Sabyasachi; Motsa, Sandile S.; Rashidi, Mohammad M.
2015
An optimal and efficient general eighth-order derivative free scheme for simple roots. Zbl 1376.65079
Behl, Ramandeep; González, D.; Maroju, Prashanth; Motsa, S. S.
2018
A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations. Zbl 1413.65199
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.
2017
Higher order compact finite difference schemes for unsteady boundary layer flow problems. Zbl 1291.76228
Dlamini, P. G.; Motsa, S. S.; Khumalo, M.
2013
A note on the multi-stage spectral relaxation method for chaos control and synchronization. Zbl 1401.65144
Dlamini, Phumlani Goodwill; Khumalo, Melusi; Motsa, Sandile Sydney
2014
A new algorithm for internal heat generation in nanofluid flow due to a stretching sheet in a porous medium. Zbl 1356.80066
Kameswaran, P. K.; Makukula, Z. G.; Sibanda, P.; Motsa, S. S.; Murthy, P. V. S. N.
2014
Higher order two-point efficient family of Halley type methods for simple roots. Zbl 1359.65072
Behl, Ramandeep; Motsa, S. S.
2016
Second derivative free sixth order continuation method for solving nonlinear equations with applications. Zbl 1407.65056
Maroju, Prashanth; Magreñán, Á. Alberto; Motsa, Sandile S.; Sarría, Ínigo
2018
On the bivariate spectral homotopy analysis method approach for solving nonlinear evolution partial differential equations. Zbl 1469.35187
Motsa, S. S.
2014
Nonlinear nanofluid flow over heated vertical surface with sinusoidal wall temperature variations. Zbl 1470.76093
Motsa, S. S.; Awad, F. G.; Khumalo, M.
2014
An efficient numerical method for solving Falkner-Skan boundary layer flows. Zbl 1245.76091
Motsa, S. S.; Sibanda, P.
2012
Application of piecewise successive linearization method for the solutions of the Chen chaotic system. Zbl 1251.65107
Motsa, S. S.; Khan, Y.; Shateyi, S.
2012
Convergence of a parameter based iterative method for solving nonlinear equations in Banach spaces. Zbl 1416.65157
Maroju, P.; Behl, R.; Motsa, S. S.
2018
Ball convergence for a family of quadrature-based methods for solving equations in Banach space. Zbl 1404.65047
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2017
A multi-domain bivariate pseudospectral method for evolution equations. Zbl 1404.65198
Magagula, V. M.; Motsa, S. S.; Sibanda, P.
2017
Local convergence analysis of an eighth order scheme using hypothesis only on the first derivative. Zbl 1461.65098
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, Sandile S.
2016
Efficient family of sixth-order methods for nonlinear models with its dynamics. Zbl 07074135
Behl, Ramandeep; Maroju, Prashanth; Motsa, S. S.
2019
A paired spectral-finite difference approach for solving boundary layer flow problems. Zbl 1438.65186
Otegbeye, O.; Motsa, S. S.
2019
An efficient optimal family of sixteenth order methods for nonlinear models. Zbl 1434.65078
Behl, Ramandeep; Amat, S.; Magreñán, Á. A.; Motsa, S. S.
2019
A new bivariate spectral collocation method with quadratic convergence for systems of nonlinear coupled differential equations. Zbl 1427.76181
Magagula, V. M.; Motsa, S. S.; Sibanda, P.
2019
Efficient family of sixth-order methods for nonlinear models with its dynamics. Zbl 07074135
Behl, Ramandeep; Maroju, Prashanth; Motsa, S. S.
2019
A paired spectral-finite difference approach for solving boundary layer flow problems. Zbl 1438.65186
Otegbeye, O.; Motsa, S. S.
2019
A family of higher order iterations free from second derivative for nonlinear equations in $$\mathbb{R}$$. Zbl 1376.65081
Kumar, Abhimanyu; Maroju, P.; Behl, R.; Gupta, D. K.; Motsa, S. S.
2018
An optimal scheme for multiple roots of nonlinear equations with eighth-order convergence. Zbl 1407.65050
Behl, Ramandeep; Alshomrani, Ali Saleh; Motsa, S. S.
2018
Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations. Zbl 1390.37077
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.
2018
Numerical simulation of couple stress nanofluid flow in magneto-porous medium with thermal radiation and a chemical reaction. Zbl 1428.76204
Sithole, Hloniphile; Mondal, Hiranmoy; Goqo, Sicelo; Sibanda, Precious; Motsa, Sandile
2018
An optimal and efficient general eighth-order derivative free scheme for simple roots. Zbl 1376.65079
Behl, Ramandeep; González, D.; Maroju, Prashanth; Motsa, S. S.
2018
Second derivative free sixth order continuation method for solving nonlinear equations with applications. Zbl 1407.65056
Maroju, Prashanth; Magreñán, Á. Alberto; Motsa, Sandile S.; Sarría, Ínigo
2018
Convergence of a parameter based iterative method for solving nonlinear equations in Banach spaces. Zbl 1416.65157
Maroju, P.; Behl, R.; Motsa, S. S.
2018
Stable high-order iterative methods for solving nonlinear models. Zbl 1411.65074
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.
2017
A family of second derivative free fourth order continuation method for solving nonlinear equations. Zbl 1357.65056
Behl, R.; Maroju, P.; Motsa, S. S.
2017
Some novel and optimal families of King’s method with eighth and sixteenth-order of convergence. Zbl 1357.65060
Maroju, P.; Behl, Ramandeep; Motsa, S. S.
2017
Unifying semilocal and local convergence of Newton’s method on Banach space with a convergence structure. Zbl 1358.65035
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2017
A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations. Zbl 1413.65199
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.
2017
Ball convergence for a family of quadrature-based methods for solving equations in Banach space. Zbl 1404.65047
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2017
A multi-domain bivariate pseudospectral method for evolution equations. Zbl 1404.65198
Magagula, V. M.; Motsa, S. S.; Sibanda, P.
2017
An optimal fourth-order family of methods for multiple roots and its dynamics. Zbl 1339.65065
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.; Kanwar, Vinay
2016
Higher-order efficient class of Chebyshev-Halley type methods. Zbl 1410.65164
Kim, Young Ik; Behl, Ramandeep; Motsa, S. S.
2016
Newton’s method on generalized Banach spaces. Zbl 1386.65149
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2016
Higher order two-point efficient family of Halley type methods for simple roots. Zbl 1359.65072
Behl, Ramandeep; Motsa, S. S.
2016
Local convergence analysis of an eighth order scheme using hypothesis only on the first derivative. Zbl 1461.65098
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, Sandile S.
2016
On developing fourth-order optimal families of methods for multiple roots and their dynamics. Zbl 1410.65147
Behl, Ramandeep; Cordero, Alicia; Motsa, S. S.; Torregrosa, Juan R.
2015
Construction of fourth-order optimal families of iterative methods and their dynamics. Zbl 1410.65146
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.
2015
On unsteady MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection using the spectral relaxation method. Zbl 1315.35168
Haroun, Nageeb A.; Sibanda, Precious; Mondal, Sabyasachi; Motsa, Sandile S.
2015
Numerical study of free convection in a doubly stratified non-Darcy porous medium using spectral quasilinearization method. Zbl 1401.76128
Srinivasacharya, D.; Motsa, Sandile S.; Surender, O.
2015
Local convergence of an optimal eighth order method under weak conditions. Zbl 1461.65072
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2015
Local convergence of an efficient high convergence order method using hypothesis only on the first derivative. Zbl 1461.65099
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2015
Heat and mass transfer of nanofluid through an impulsively vertical stretching surface using the spectral relaxation method. Zbl 1342.35388
Haroun, Nageeb A. H.; Sibanda, Precious; Mondal, Sabyasachi; Motsa, Sandile S.; Rashidi, Mohammad M.
2015
Spectral relaxation method and spectral quasilinearization method for solving unsteady boundary layer flow problems. Zbl 1291.76104
Motsa, S. S.; Dlamini, P. G.; Khumalo, M.
2014
A spectral relaxation approach for unsteady boundary-layer flow and heat transfer of a nanofluid over a permeable stretching/shrinking sheet. Zbl 1291.76105
Motsa, S. S.; Sibanda, P.; Ngnotchouye, J. M.; Marewo, G. T.
2014
Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems. Zbl 1284.65080
Saberi Nik, H.; Effati, S.; Motsa, S. S.; Shirazian, M.
2014
On the practical use of the spectral homotopy analysis method and local linearisation method for unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1299.76192
Motsa, Sandile S.
2014
A new piecewise spectral homotopy analysisof the Michaelis-Menten enzymatic reactions model. Zbl 1296.65099
Shateyi, S.; Motsa, S. S.; Khan, Y.
2014
Application of successive linearisation method to squeezing flow with bifurcation. Zbl 1302.76142
Motsa, S. S.; Makinde, O. D.; Shateyi, S.
2014
The spectral homotopy analysis method extended to systems of partial differential equations. Zbl 1468.65215
Motsa, S. S.; Awad, F. G.; Makukula, Z. G.; Sibanda, P.
2014
On an interpolation based spectral homotopy analysis method for PDE based unsteady boundary layer flows. Zbl 07023190
Motsa, S. S.
2014
A note on the multi-stage spectral relaxation method for chaos control and synchronization. Zbl 1401.65144
Dlamini, Phumlani Goodwill; Khumalo, Melusi; Motsa, Sandile Sydney
2014
A new algorithm for internal heat generation in nanofluid flow due to a stretching sheet in a porous medium. Zbl 1356.80066
Kameswaran, P. K.; Makukula, Z. G.; Sibanda, P.; Motsa, S. S.; Murthy, P. V. S. N.
2014
On the bivariate spectral homotopy analysis method approach for solving nonlinear evolution partial differential equations. Zbl 1469.35187
Motsa, S. S.
2014
Nonlinear nanofluid flow over heated vertical surface with sinusoidal wall temperature variations. Zbl 1470.76093
Motsa, S. S.; Awad, F. G.; Khumalo, M.
2014
A new spectral local linearization method for nonlinear boundary layer flow problems. Zbl 1397.65119
Motsa, S. S.
2013
Some modifications of the quasilinearization method with higher-order convergence for solving nonlinear BVPs. Zbl 1271.65115
Motsa, Sandile S.; Sibanda, Precious
2013
On the comparison between compact finite difference and pseudospectral approaches for solving similarity boundary layer problems. Zbl 1299.76169
Dlamini, P. G.; Motsa, S. S.; Khumalo, M.
2013
A new piecewise-spectral homotopy analysis method for solving chaotic systems of initial value problems. Zbl 1299.34047
Saberi Nik, H.; Effati, Sohrab; Motsa, Sandile S.; Shateyi, Stanford
2013
Spectral local linearisation approach for natural convection boundary layer flow. Zbl 1299.76057
Motsa, S. S.; Makukula, Z. G.; Shateyi, S.
2013
Higher order compact finite difference schemes for unsteady boundary layer flow problems. Zbl 1291.76228
Dlamini, P. G.; Motsa, S. S.; Khumalo, M.
2013
On a new method for computing the numerical solution of systems of nonlinear equations. Zbl 1268.65075
Montazeri, H.; Soleymani, F.; Shateyi, S.; Motsa, S. S.
2012
Construction of optimal derivative-free techniques without memory. Zbl 1268.65069
Soleymani, F.; Babajee, D. K. R.; Shateyi, S.; Motsa, S. S.
2012
Solving hyperchaotic systems using the spectral relaxation method. Zbl 1256.65102
Motsa, S. S.; Dlamini, P. G.; Khumalo, M.
2012
A spectral-homotopy analysis method for heat transfer flow of a third grade fluid between parallel plates. Zbl 1356.80073
Sibanda, Precious; Motsa, Sandile; Makukula, Zodwa
2012
An improved spectral homotopy analysis method for MHD flow in a semi-porous channel. Zbl 1427.76217
Motsa, Sandile Sydney; Shateyi, Stanford; Marewo, Gerald T.; Sibanda, Precious
2012
The effects of chemical reaction, Hall, and ion-slip currents on MHD micropolar fluid flow with thermal diffusivity using a novel numerical technique. Zbl 1235.76112
Motsa, S. S.; Shateyi, S.
2012
On the solution of MHD flow over a nonlinear stretching sheet by an efficient semi-analytical technique. Zbl 1426.76510
Motsa, S. S.; Sibanda, P.
2012
A new numerical solution of Maxwell fluid over a shrinking sheet in the region of a stagnation point. Zbl 1264.76011
Motsa, Sandile Sydney; Khan, Yasir; Shateyi, Stanford
2012
MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method. Zbl 1266.76007
Motsa, S. S.; Hayat, T.; Aldossary, O. M.
2012
Application of the new spectral homotopy analysis method (Sham) in the non-linear heat conduction and convective fin problem with variable thermal conductivity. Zbl 1359.80015
Motsa, S. S.
2012
A linearisation method for non-linear singular boundary value problems. Zbl 1247.65098
Motsa, Sandile Sydney; Sibanda, Precious
2012
On a new analytical method for flow between two inclined walls. Zbl 1358.76058
Motsa, Sandile S.; Sibanda, Precious; Marewo, Gerald T.
2012
On double-diffusive convection and cross diffusion effects on a horizontal wavy surface in a porous medium. Zbl 1277.76107
Narayana, M.; Sibanda, P.; Motsa, S. S.; Siddheshwar, P. G.
2012
New analytic solution to the Lane-Emden equation of index 2. Zbl 1264.65130
Motsa, S. S.; Shateyi, Stanford
2012
A note on the solutions of the Van der Pol and Duffing equations using a linearisation method. Zbl 1264.34068
Motsa, Sandile S.; Sibanda, Precious
2012
A successive linearization method approach to solve Lane-Emden type of equations. Zbl 1264.65104
Motsa, S. S.; Shateyi, S.
2012
Successive linearization analysis of the effects of partial slip, thermal diffusion, and diffusion-thermo on steady MHD convective flow due to a rotating disk. Zbl 1264.76126
Motsa, S. S.; Shateyi, S.
2012
An efficient numerical method for solving Falkner-Skan boundary layer flows. Zbl 1245.76091
Motsa, S. S.; Sibanda, P.
2012
Application of piecewise successive linearization method for the solutions of the Chen chaotic system. Zbl 1251.65107
Motsa, S. S.; Khan, Y.; Shateyi, S.
2012
Convection from an inverted cone in a porous medium with cross-diffusion effects. Zbl 1217.76071
Awad, F. G.; Sibanda, P.; Motsa, S. S.; Makinde, O. D.
2011
On a new quasi-linearization method for systems of nonlinear boundary value problems. Zbl 1414.76005
Motsa, S. S.; Sibanda, P.; Shateyi, S.
2011
An improved spectral homotopy analysis method for solving boundary layer problems. Zbl 1270.35023
Motsa, Sandile S.; Marewo, Gerald T.; Sibanda, Precious; Shateyi, Stanford
2011
On new numerical techniques for the MHD flow past a shrinking sheet with heat and mass transfer in the presence of a chemical reaction. Zbl 1235.76108
Makukula, Z. G.; Sibanda, P.; Motsa, S. S.; Shateyi, S.
2011
A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem. Zbl 1242.76363
Motsa, S. S.; Sibanda, P.; Awad, F. G.; Shateyi, S.
2010
A new spectral-homotopy analysis method for solving a nonlinear second order BVP. Zbl 1222.65090
Motsa, S. S.; Sibanda, P.; Shateyi, S.
2010
A novel numerical technique for two-dimensional laminar flow between two moving porous walls. Zbl 1195.76387
Makukula, Zodwa G.; Sibanda, Precious; Motsa, Sandile S.
2010
Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect. Zbl 1195.76438
Shateyi, S.; Motsa, S. S.
2010
A new algorithm for solving singular IVPs of Lane-Emden type. Zbl 1343.65087
Motsa, Sandile S.; Sibanda, Precious
2010
On the linear stability analysis of a Maxwell fluid with double-diffusive convection. Zbl 1201.76013
Awad, F. G.; Sibanda, P.; Motsa, Sandile S.
2010
A note on the solution of the von Kármán equations using series and Chebyshev spectral methods. Zbl 1207.35248
Makukula, Zodwa G.; Sibanda, Precious; Motsa, Sandile Sydney
2010
A new approach for the solution of three-dimensional magnetohydrodynamic rotating flow over a shrinking sheet. Zbl 1202.76157
Motsa, S. S.; Shateyi, S.
2010
The effects of thermal radiation, Hall currents, Soret, and Dufour on MHD flow by mixed convection over a vertical surface in porous media. Zbl 1333.76075
Shateyi, Stanford; Motsa, Sandile Sydney; Sibanda, Precious
2010
On a new quasi-linearisation method for heat transfer in a visco-elastic fluid between parallel plates. Zbl 1341.80019
Makukula, Zodwa G.; Sibanda, Precious; Motsa, Sandile S.
2010
A note on improved homotopy analysis method for solving the Jeffery-Hamel flow. Zbl 1285.76030
Motsa, Sandile Sydney; Sibanda, Precious; Marewo, Gerald T.; Shateyi, Stanford
2010
Thermal radiation effects on heat and mass transfer over an unsteady stretching surface. Zbl 1191.80029
Shateyi, Stanford; Motsa, Sandile Sydney
2009
An asymptotic analysis of convection in boundary-layer flows in the presence of a chemical reaction. Zbl 1105.76027
Shateyi, S.; Sibanda, P.; Motsa, S. S.
2005
Investigation of compliancy effects on the inviscid instability in fluid flow over a flat plate with heat transfer. Zbl 1231.76100
Motsa, S. S.; Sibanda, P.
2005
On the stability analysis of thermally stratified channel flow with a compliant boundary. Zbl 1025.76009
Motsa, Sandile S.; Sibanda, P.
2003
Hydromagnetic stability of generalized plane Couette flow. Zbl 1003.76032
Makinde, O. D.; Motsa, S. S.
2002
The effect of heating/cooling on the upper-branch stability of boundary layer flows over a compliant boundary. Zbl 1016.76023
Motsa, Sandile S.; Gajjar, Jitesh S. B.; Sibanda, Precious
2002
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#### Cited by 424 Authors

 48 Motsa, Sandile Sydney 37 Sibanda, Precious 22 Shateyi, Stanford 15 Behl, Ramandeep 14 Torregrosa Sanchez, Juan Ramón 13 Cordero, Alicia 12 Ahmad, Fayyaz 9 Alshomrani, Ali Saleh 9 Kim, Young Ik 8 Argyros, Ioannis Konstantinos 8 Lotfi, Taher 8 Soleymani, Fazlollah 8 Ullah, Malik Zaka 7 Geum, Young Hee 7 Marewo, Gerald T. 6 Awad, Faiz Gadelmola 6 Hayat, Tasawar 6 Khan, Yasir 6 Khumalo, Melusi 6 Magreñán, Ángel Alberto 6 Makinde, Oluwole Daniel 6 Makukula, Zodwa G. 6 RamReddy, Chetteti 6 Zafar, Fiza 5 Abbasbandy, Saeid 5 Dlamini, Phumlani Goodwill 5 Khidir, Ahmed Abdalmgid 5 Maroju, Prashanth 5 Martínez, Eulalia 5 Narayana, Mahesha 5 Pradeepa, Teegala 5 Serra-Capizzano, Stefano 4 Carrasco, Juan Antonio 4 Gupta, Dharmendra Kumar 4 Kumar, Abhimanyu 4 Raghunatha, K. R. 4 Sharma, Janak Raj 4 Shivakumara, I. S. 4 Srinivasacharya, Darbhashayanam 3 Ahmad, Shamshad 3 Al-saedi, Ahmed Eid Salem 3 Assari, Paria 3 Ferdows, Mohammad 3 Junjua, Moin-ud-Din 3 Kansal, Munish 3 Kiliçman, Adem 3 Mondal, Sabyasachi 3 Shivanian, Elyas 3 Singh, Sukhjit 3 Turkyilmazoglu, Mustafa 3 Vajravelu, Kuppalapalle 2 Abdeljawad, Thabet 2 Ahmad, Shahid 2 Akram, Saima 2 Aldossary, Omar M. 2 Animasaun, Isaac Lare 2 Babajee, Diyashvir Kreetee Rajiv 2 Bakhtiari, Parisa 2 Băleanu, Dumitru I. 2 Bég, O. Anwar 2 Bég, Tasveer A. 2 Ben-Romdhane, Mohamed 2 Chun, Changbum 2 Effati, Sohrab 2 Fagbade, Adeyemi Isaiah 2 Fariborzi Araghi, Mohammad Ali 2 George, Santhosh 2 Goqo, Sicelo P. 2 Gupta, Yogesh 2 Haroun, Nageeb A. H. 2 Hashim, Ishak 2 Himabindu, K. 2 Hossain, Md. Anwar 2 Hussain, Majid 2 Ibrahim, Wubshet 2 Jagadeeshwar, Pashikanti 2 Jajarmi, Amin 2 Kadir, Ali 2 Kanwar, Vinay 2 Kazemi Nasab, A. 2 Khalsaraei, Mohammad Mehdizadeh 2 Kọrikọ, Olubode Kolade 2 Kumar, Deepak 2 Kumar, N. Naresh 2 Kumar, P. Vijay 2 Lee, Min-Young 2 Liu, Tianbao 2 Magagula, Vusi Mpendulo 2 Makanda, Gilbert 2 Mallory, Kristina 2 Mohyud-Din, Syed Tauseef 2 Mondal, Hiranmoy 2 Murthy, Prabhala V. S. N. 2 Naseem, Amir 2 Neta, Beny 2 Ojjela, Odelu 2 Otegbeye, Olumuyiwa 2 Otgondorj, Kh. 2 Oyelakin, I. S. 2 Pal, Dulal ...and 324 more Authors
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#### Cited in 92 Serials

 21 Mathematical Problems in Engineering 20 International Journal of Applied and Computational Mathematics 18 Numerical Algorithms 17 Applied Mathematics and Computation 14 Boundary Value Problems 11 International Journal of Computational Methods 10 Journal of Computational and Applied Mathematics 10 International Journal of Numerical Methods for Heat & Fluid Flow 10 Journal of Mathematical Chemistry 10 Abstract and Applied Analysis 10 Journal of Applied Mathematics 8 Computers and Fluids 7 Computers & Mathematics with Applications 6 S$$\vec{\text{e}}$$MA Journal 5 Advances in Mathematical Physics 4 Journal of the Egyptian Mathematical Society 4 Symmetry 3 International Journal for Numerical Methods in Fluids 3 Mathematics and Computers in Simulation 3 Applied Mathematical Modelling 3 Complexity 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Algorithms 3 Journal of Mathematics 2 Acta Mechanica 2 Meccanica 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of the Nigerian Mathematical Society 2 Computational and Applied Mathematics 2 Nonlinear Dynamics 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Advances in Applied Mathematics and Mechanics 2 Afrika Matematika 2 Arabian Journal for Science and Engineering 2 Mathematical Sciences 2 Journal of Function Spaces 2 Journal of Computational Methods in Physics 2 Computational Methods for Differential Equations 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 International Journal of Heat and Mass Transfer 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Numerical Functional Analysis and Optimization 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Mathematical and Computer Modelling 1 Neural Computation 1 Computational Mathematics and Mathematical Physics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physics of Fluids 1 Applicationes Mathematicae 1 Journal of Difference Equations and Applications 1 Arab Journal of Mathematical Sciences 1 Mathematical Communications 1 Journal of Applied Mechanics and Technical Physics 1 European Journal of Mechanics. B. Fluids 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Sādhanā 1 Theoretical and Applied Mechanics 1 Inverse Problems in Science and Engineering 1 The Journal of Prime Research in Mathematics 1 Optimization Letters 1 Applicable Analysis and Discrete Mathematics 1 Advances in High Energy Physics 1 International Journal of Biomathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Mathematics and Computer Science. JMCS 1 Asian Journal of Control 1 Numerical Algebra, Control and Optimization 1 Journal of Mathematical Extension 1 Arabian Journal of Mathematics 1 Caspian Journal of Mathematical Sciences 1 Journal of Applied Analysis and Computation 1 Axioms 1 International Journal of Analysis 1 Mathematics 1 International Journal of Engineering Mathematics 1 Chinese Journal of Mathematics 1 International Scholarly Research Notices. Mathematical Physics 1 Open Mathematics 1 Transactions of A. Razmadze Mathematical Institute 1 Results in Applied Mathematics
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#### Cited in 29 Fields

 167 Numerical analysis (65-XX) 129 Fluid mechanics (76-XX) 51 Classical thermodynamics, heat transfer (80-XX) 35 Ordinary differential equations (34-XX) 32 Partial differential equations (35-XX) 12 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 7 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Computer science (68-XX) 4 Systems theory; control (93-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX)