Robert A. Van Gorder
Robert A. Van Gorder
Department of Mathematics and Statistics, University of Otago
Verified email at maths.otago.ac.nz - Homepage
Title
Cited by
Cited by
Year
Convective heat transfer in the flow of viscous Ag–water and Cu–water nanofluids over a stretching surface
K Vajravelu, KV Prasad, J Lee, C Lee, I Pop, RA Van Gorder
International Journal of Thermal Sciences 50 (5), 843-851, 2011
2462011
On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a …
RA Van Gorder, K Vajravelu
Communications in Nonlinear Science and Numerical Simulation 14 (12), 4078-4089, 2009
1522009
Analytic and numerical solutions to the Lane–Emden equation
RA Van Gorder, K Vajravelu
Physics Letters A 372 (39), 6060-6065, 2008
1192008
Nano boundary layers over stretching surfaces
RA Van Gorder, E Sweet, K Vajravelu
Communications in Nonlinear Science and Numerical Simulation 15 (6), 1494-1500, 2010
1172010
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation
AH Bhrawy, MA Zaky, RA Van Gorder
Numerical Algorithms 71 (1), 151-180, 2016
872016
Jacobi–Gauss–Lobatto collocation method for the numerical solution of 1+ 1 nonlinear Schrödinger equations
EH Doha, AH Bhrawy, MA Abdelkawy, RA Van Gorder
Journal of Computational Physics 261, 244-255, 2014
832014
Nonlinear flow phenomena and homotopy analysis
K Vajravelu, R Van Gorder
Springer, 2013
802013
Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces
FT Akyildiz, H Bellout, K Vajravelu, RA Van Gorder
Nonlinear Analysis: Real World Applications 12 (6), 2919-2930, 2011
602011
Application of the BPES to Lane–Emden equations governing polytropic and isothermal gas spheres
K Boubaker, RA Van Gorder
New Astronomy 17 (6), 565-569, 2012
542012
Analytical method for the construction of solutions to the Föppl–von Kármán equations governing deflections of a thin flat plate
RA Van Gorder
International Journal of Non-Linear Mechanics 47 (3), 1-6, 2012
542012
Gaussian waves in the Fitzhugh–Nagumo equation demonstrate one role of the auxiliary function H (x, t) in the homotopy analysis method
RA Van Gorder
Communications in Nonlinear Science and Numerical Simulation 17 (3), 1233-1240, 2012
492012
Control of error in the homotopy analysis of semi-linear elliptic boundary value problems
RA Van Gorder
Numerical Algorithms 61 (4), 613-629, 2012
472012
A new Jacobi spectral collocation method for solving 1+1 fractional Schrödinger equations and fractional coupled Schrödinger system
AH Bhrawy, EH Doha, SS Ezz-Eldien, RA Van Gorder
The European Physical Journal Plus 129, 260, 2014
452014
MHD flow and heat transfer in a nanofluid over a slender elastic sheet with variable thickness
KV Prasad, K Vajravelu, H Vaidya, RA Van Gorder
Results in physics 7, 1462-1474, 2017
442017
Hydromagnetic stagnation point flow of a viscous fluid over a stretching or shrinking sheet
RA Van Gorder, K Vajravelu, I Pop
Meccanica 47 (1), 31-50, 2012
432012
Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet
FT Akyildiz, DA Siginer, K Vajravelu, JR Cannon, RA Van Gorder
Mathematical Methods in the Applied Sciences 33 (5), 601-606, 2010
432010
Implicit differential equation arising in the steady flow of a Sisko fluid
FT Akyildiz, K Vajravelu, RN Mohapatra, E Sweet, RA Van Gorder
Applied Mathematics and Computation 210 (1), 189-196, 2009
422009
An elegant perturbation solution for the Lane–Emden equation of the second kind
RA Van Gorder
New Astronomy 16 (2), 65-67, 2011
412011
Analytical solutions to a generalized Drinfel’d–Sokolov equation related to DSSH and KdV6
E Sweet, RA Van Gorder
Applied Mathematics and Computation 216 (10), 2783-2791, 2010
392010
A heat and mass transfer study of coffee bean roasting
NT Fadai, J Melrose, CP Please, A Schulman, RA Van Gorder
International Journal of Heat and Mass Transfer 104, 787-799, 2017
372017
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Articles 1–20