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## Vajravelu, Kuppalapalle

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 Author ID: vajravelu.kuppalapalle Published as: Vajravelu, K.; Vajravelu, Kuppalapalle Homepage: http://sciences.ucf.edu/math/people/vajravelu-kuppalapalle/ External Links: MGP · ORCID · Google Scholar · dblp
 Documents Indexed: 177 Publications since 1977, including 4 Books
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#### Serials

 20 Applied Mathematics and Computation 17 Acta Mechanica 15 Communications in Nonlinear Science and Numerical Simulation 13 Journal of Mathematical Analysis and Applications 11 International Journal of Non-Linear Mechanics 7 International Journal of Applied and Computational Mathematics 6 International Journal of Heat and Mass Transfer 5 International Journal of Engineering Science 5 Meccanica 5 Archive of Applied Mechanics 5 Nonlinear Analysis. Theory, Methods & Applications 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Quarterly of Applied Mathematics 4 Nonlinear Analysis. Real World Applications 3 Physics Letters. A 3 International Journal of Biomathematics 2 Computers & Mathematics with Applications 2 Journal of Engineering Mathematics 2 Journal of Mathematical and Physical Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Optimization Theory and Applications 2 Applied Mathematics and Mechanics. (English Edition) 2 Numerical Algorithms 2 Journal of Mathematical Chemistry 2 Communications in Theoretical Physics 2 Applied Mathematics and Nonlinear Sciences 1 Applicable Analysis 1 Journal of Applied Mechanics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Mechanics Research Communications 1 Quaestiones Mathematicae 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Nonlinear World 1 Mathematical Problems in Engineering 1 The ANZIAM Journal 1 Proceedings of the Indian Academy of Sciences 1 Differential Equations & Nonlinear Mechanics 1 Mathematics and its Applications (Dordrecht) 1 Advances in Applied Mathematics and Mechanics 1 Proceedings of the Indian Academy of Sciences 1 Journal of Nonlinear Evolution Equations and Applications 1 De Gruyter Studies in Mathematical Physics 1 SN Partial Differential Equations and Applications
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#### Fields

 145 Fluid mechanics (76-XX) 59 Classical thermodynamics, heat transfer (80-XX) 32 Partial differential equations (35-XX) 28 Ordinary differential equations (34-XX) 26 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 4 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

135 Publications have been cited 1,150 times in 807 Documents Cited by Year
On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Zbl 1221.65208
Van Gorder, Robert A.; Vajravelu, K.
2009
Analytic and numerical solutions to the Lane-Emden equation. Zbl 1223.85004
Van Gorder, Robert A.; Vajravelu, K.
2008
Series solutions of nano boundary layer flows by means of the homotopy analysis method. Zbl 1135.76016
Cheng, Jun; Liao, Shijun; Mohapatra, R. N.; Vajravelu, K.
2008
Viscous flow over a nonlinearly stretching sheet. Zbl 1162.76335
Vajravelu, K.
2001
Mathematical properties of $$\hbar$$-curve in the frame work of the homotopy analysis method. Zbl 1222.65060
Abbasbandy, S.; Shivanian, E.; Vajravelu, K.
2011
Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation. Zbl 1200.76192
2007
Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream. Zbl 0907.76084
1997
Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube. Zbl 1295.76039
Vajravelu, K.; Sreenadh, S.; Babu, V. Ramesh
2005
Flow and heat transfer in a second-grade fluid over a stretching sheet. Zbl 1006.76005
Vajravelu, K.; Roper, T.
2000
Nano boundary layers over stretching surfaces. Zbl 1221.76024
Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K.
2010
Heat transfer in an electrically conducting fluid over a stretching surface. Zbl 0775.76218
Vajravelu, K.; Rollins, D.
1992
The effects of variable fluid properties and thermocapillarity on the flow of a thin film on an unsteady stretching sheet. Zbl 1124.80317
Dandapat, B. S.; Santra, B.; Vajravelu, K.
2007
Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024
Vajravelu, K.; Cannon, J. R.
2006
Hydromagnetic flow of a second-grade fluid over a stretching sheet. Zbl 1034.76061
Vajravelu, K.; Rollins, D.
2004
Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces. Zbl 1231.35155
Talay Akyildiz, F.; Bellout, Hamid; Vajravelu, Kuppalapalle; Van Gorder, Robert A.
2011
Diffusion of chemically reactive species in a porous medium over a stretching sheet. Zbl 1104.35038
Akyildiz, F. Talay; Bellout, Hamid; Vajravelu, K.
2006
Heat transfer in a viscoelastic fluid over a stretching sheet. Zbl 0725.76019
Vajravelu, K.; Rollins, D.
1991
Convective heat transfer at a stretching sheet. Zbl 0775.76179
Vajravelu, K.; Nayfeh, J.
1993
The explicit series solution of SIR and SIS epidemic models. Zbl 1171.92033
Khan, Hina; Mohapatra, Ram N.; Vajravelu, K.; Liao, S. J.
2009
Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Zbl 1293.76123
Chamkha, Ali J.; Abbasbandy, S.; Rashad, A. M.; Vajravelu, K.
2013
Hydromagnetic flow and heat transfer over a continuous, moving, porous, flat surface. Zbl 0614.76114
Vajravelu, K.
1986
Heat transfer in a second-order fluid over a continuous stretching surface. Zbl 0753.76017
Rollins, D.; Vajravelu, K.
1991
Peristaltic pumping of a Herschel–Bulkley fluid in a channel. Zbl 1079.76007
Vajravelu, K.; Sreenadh, S.; Babu, V. Ramesh
2005
The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum. Zbl 1343.76073
Vajravelu, K.; Sreenadh, S.; Lakshminarayana, P.
2011
Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet. Zbl 1176.80038
2009
Analytical and numerical solutions of a coupled non-linear system arising in a three-dimensional rotating flow. Zbl 1225.76223
Vajravelu, K.; Kumar, B. V. R.
2004
Flow and heat transfer in a saturated porous medium over a stretching surface. Zbl 0821.76078
Vajravelu, K.
1994
Hydromagnetic flow of a dusty fluid over a stretching sheet. Zbl 0775.76219
Vajravelu, K.; Nayfeh, J.
1992
Implicit differential equation arising in the steady flow of a Sisko fluid. Zbl 1160.76002
Akyildiz, F. Talay; Vajravelu, K.; Mohapatra, R. N.; Sweet, Erik; van Gorder, Robert A.
2009
Free convective heat transfer in a viscous incompressible fluid confined between a long vertical wavy wall and a parallel flat wall. Zbl 0383.76073
Vajravelu, K.; Sastri, K. S.
1978
An analytical solution for a nonlinear time-delay model in biology. Zbl 1221.65204
Khan, Hina; Liao, Shi-Jun; Mohapatra, R. N.; Vajravelu, K.
2009
Convection heat transfer at a stretching sheet with suction or blowing. Zbl 0816.76086
Vajravelu, K.
1994
Nonlinear flow phenomena and homotopy analysis. Fluid flow and heat transfer. Zbl 1277.35005
Vajravelu, Kuppalapalle; Van Gorder, Robert A.
2012
Generalized quasilinearization method for second-order boundary value problems. Zbl 0922.34018
Mohapatra, R. N.; Vajravelu, K.; Yin, Y.
1999
On fluid dynamic drag reduction in some boundary layer flows. Zbl 0698.76045
Vajravelu, K.; Mohapatra, R. N.
1990
Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1201.34048
Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; Cannon, J. R.; van Gorder, Robert A.
2010
Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner-Skan flow. Zbl 1222.76033
Van Gorder, Robert A.; Vajravelu, K.
2010
Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists. Zbl 1284.91057
Snyder, Brooke C.; Van Gorder, Robert A.; Vajravelu, K.
2013
Hydromagnetic stagnation point flow of a viscous fluid over a stretching or shrinking sheet. Zbl 1293.76179
van Gorder, Robert A.; Vajravelu, K.; Pop, I.
2012
Existence and nonuniqueness of solutions of a singular nonlinear boundary-layer problem. Zbl 0733.34031
Soewono, E.; Vajravelu, K.; Mohapatra, R. N.
1991
Analytical and numerical solutions of the density dependent diffusion Nagumo equation. Zbl 1221.92026
Van Gorder, Robert A.; Vajravelu, K.
2008
Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow. Zbl 1132.76007
Akyildiz, F. Talay; Vajravelu, K.
2006
MHD flow and heat transfer of a UCM fluid over a stretching surface with variable thermophysical properties. Zbl 1293.76177
Prasad, K. V.; Sujatha, A.; Vajravelu, K.; Pop, I.
2012
Nonlinear convection at a porous flat plate with application to heat transfer from a dike. Zbl 1053.76064
Vajravelu, K.; Cannon, J. R.; Leto, J.; Semmoum, R.; Nathan, S.; Draper, M.; Hammock, D.
2003
Extension of the method of quasilinearization and rapid convergence. Zbl 0908.65056
Mohapatra, R. N.; Vajravelu, K.; Yin, Y.
1998
Analysis of heat and mass transfer of a viscoelastic, electrically conducting fluid past a continuous stretching sheet. Zbl 0939.76003
Kelly, D.; Vajravelu, K.; Andrews, L.
1999
Analytic solution for axisymmetric flow over a nonlinearly stretching sheet. Zbl 1161.76460
Sajid, M.; Hayat, T.; Asghar, S.; Vajravelu, K.
2008
Magnetohydrodynamic flow of a viscoelastic fluid. Zbl 1220.76073
Akyildiz, F. Talay; Vajravelu, K.
2008
Analytical and numerical results for the Swift-Hohenberg equation. Zbl 1252.65178
Talay Akyildiz, F.; Siginer, Dennis A.; Vajravelu, K.; van Gorder, Robert A.
2010
A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation. Zbl 1195.35010
Van Gorder, Robert A.; Vajravelu, K.
2010
Analytical and numerical solutions of the density dependent Nagumo telegraph equation. Zbl 1201.35073
Van Gorder, Robert A.; Vajravelu, K.
2010
Some second order nonlinear systems arising in natural convection heat transfer. Zbl 0785.35081
Vajravelu, K.; Mohapatra, R. N.; Soewono, E.
1993
Generalized quasilinearization method and rapid convergence for first order initial value problems. Zbl 0876.65051
Mohapatra, R. N.; Vajravelu, K.; Yin, Y.
1997
MHD flow past a stretching permeable sheet. Zbl 1160.76056
Kumaran, V.; Banerjee, A. K.; Kumar, A. Vanav; Vajravelu, K.
2009
Hydromagnetic flow and heat transfer of a non-Newtonian power law fluid over a vertical stretching sheet. Zbl 1183.80051
Prasad, K. V.; Datti, P. S.; Vajravelu, K.
2010
A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems. Zbl 1211.34037
Van Gorder, Robert A.; Vajravelu, K.
2010
A new method for homoclinic solutions of ordinary differential equations. Zbl 1197.65212
Akyildiz, F. Talay; Vajravelu, K.; Liao, S.-J.
2009
Multiple solutions for hydromagnetic flow of a second grade fluid over a stretching or shrinking sheet. Zbl 1329.76049
Van Gorder, Robert A.; Vajravelu, K.
2011
Combined influence of velocity slip, temperature and concentration jump conditions on MHD peristaltic transport of a carreau fluid in a non-uniform channel. Zbl 1334.76174
Vajravelu, K.; Sreenadh, S.; Saravana, R.
2013
Exact solutions of nonlinear differential equations arising in third grade fluid flows. Zbl 1348.76011
Akyildiz, F. Talay; Bellout, Hamid; Vajravelu, K.
2004
Fourth order non-linear systems arising in combined free and forced convection flow of a second order fluid. Zbl 0819.76076
Vajravelu, K.; Soewono, E.
1994
Correction to ’Free convection effect on the oscillatory flow past an infinite, vertical, porous plate with constant suction. I’. Zbl 0351.76102
Vajravelu, K.; Sastri, K. S.
1977
An improved quasilinearization method for second order nonlinear boundary value problems. Zbl 0893.34015
Mohapatra, R. N.; Vajravelu, K.; Yin, Y.
1997
Hydromagnetic convection at a continuous moving surface. Zbl 0655.76089
Vajravelu, K.
1988
Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks. Zbl 1277.76024
Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K.
2010
MHD flow and mass transfer of chemically reactive upper convected Maxwell fluid past porous surface. Zbl 1266.76065
Vajravelu, K.; Prasad, K. V.; Sujatha, A.; Ng, Chiu-on
2012
Approximate analytic solutions of stagnation point flow in a porous medium. Zbl 1221.76148
Kumaran, V.; Tamizharasi, R.; Vajravelu, K.
2009
Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet. Zbl 1229.34041
Van Gorder, Robert A.; Vajravelu, K.; Akyildiz, F. Talay
2011
On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. Zbl 1293.65137
Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle
2014
Unsteady flow of two immiscible conducting fluids between two permeable beds. Zbl 0844.76097
Vajravelu, K.; Arunachalam, P. V.; Sreenadh, S.
1995
Laminar free convection heat transfer of a viscous incompressible heat generating fluid-flow past a vertical porous plate in the presence of free-stream oscillations. I. Zbl 0389.76055
Vajravelu, K.; Sastri, K. S.
1978
On solutions of some non-linear differential equations arising in third grade fluid flows. Zbl 1211.76015
Vajravelu, K.; Cannon, J. R.; Rollins, D.; Leto, J.
2002
Heat transfer in a liquid film over an unsteady stretching sheet. Zbl 1262.80041
Nandeppanavar, Mahantesh M.; Vajravelu, K.; Subhas Abel, M.; Ravi, S.; Jyoti, H.
2012
Diffusion of a chemically reactive species of a power-law fluid past a stretching surface. Zbl 1228.76153
Vajravelu, K.; Prasad, K. V.; Rao, N. S. Prasanna
2011
Axisymmetric magneto-hydrodynamic (MHD) flow and heat transfer at a non-isothermal stretching cylinder. Zbl 1311.76148
Vajravelu, K.; Prasad, K. V.; Santhi, S. R.
2012
The effect of heat transfer on the nonlinear peristaltic transport of a Jeffrey fluid through a finite vertical porous channel. Zbl 1331.76019
Vajravelu, K.; Sreenadh, S.; Lakshminarayana, P.; Sucharitha, G.
2016
Hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet. Zbl 1272.76027
Van Gorder, Robert A.; Vajravelu, K.
2010
Hydromagnetic flow at an oscillating plate. Zbl 1346.76213
Vajravelu, K.; Rivera, J.
2003
Pulsatile flow between permeable beds. Zbl 1348.76168
Vajravelu, K.; Ramesh, K.; Sreenadh, S.; Arunachalam, P. V.
2003
Peristaltic transport of a Herschel-Bulkley fluid in contact with a Newtonian fluid. Zbl 1407.76006
Vajravelu, K.; Sreenadh, S.; Ramesh Babu
2006
Generalized quasilinearization for singular system of differential equations. Zbl 1038.34001
Abd-Ellateef Kamar, Ahmed R.; Attia, Gamal M.; Vajravelu, K.; Mosaad, M.
2000
On solutions of some unsteady flows over a continuous, moving, porous flat surface. Zbl 0706.76054
Vajravelu, K.; Rollins, D.
1990
Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption. Zbl 1388.76349
Van Gorder, Robert A.; Vajravelu, K.
2011
MHD mixed convection heat transfer over a non-linear slender elastic sheet with variable fluid properties. Zbl 1378.76140
Prasad, K. V.; Vaidya, Hanumesh; Vajravelu, K.
2017
Nanofluid flow and heat transfer in a cavity with variable magnetic field. Zbl 1411.76171
Sheikholeslami, M.; Vajravelu, K.
2017
Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with thermal radiation and non-uniform heat source/sink. Zbl 1312.76063
Nandeppanavar, Mahantesh M.; Vajravelu, K.; Subhas Abel, M.
2011
Existence and uniqueness results for a nonlinear differential equation arising in stagnation point flow in a porous medium. Zbl 1397.76142
Van Gorder, Robert A.; Vajravelu, Kuppalapalle
2010
Third-order partial differential equations arising in the impulsive motion of a flat plate. Zbl 1221.74053
Van Gorder, Robert A.; Vajravelu, K.
2009
Heat transfer over a nonlinearly stretching sheet with non-uniform heat source and variable wall temperature. Zbl 1226.80018
Nandeppanavar, Mahantesh M.; Vajravelu, K.; Subhas Abel, M.; Ng, Chiu-On
2011
Keller-box method and its application. Zbl 1305.76002
2014
Flow and heat transfer of nanofluids at a stagnation point flow over a stretching/shrinking surface in a porous medium with thermal radiation. Zbl 1334.76155
Pal, Dulal; Mandal, Gopinath; Vajravelu, K.
2014
Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall. Zbl 1316.76111
Raftari, Behrouz; Vajravelu, Kuppalapalle
2012
Unsteady flow and heat transfer in a thin film of Ostwald-de Waele liquid over a stretching surface. Zbl 1316.76013
Vajravelu, K.; Prasad, K. V.; Ng, Chiu-On
2012
Fourier-Galerkin domain truncation method for Stokes’ first problem with Oldroyd four-constant liquid. Zbl 1142.65437
Akyildiz, F. Talay; Vajravelu, K.; Ozekes, H.
2008
Several types of similarity solutions for the Hunter-Saxton equation. Zbl 1319.35110
Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle
2015
On thin film flow of a third-grade fluid down an inclined plane. Zbl 1293.76038
Kumaran, V.; Tamizharasi, R.; Merkin, J. H.; Vajravelu, K.
2012
Fluid flow and heat transfer in horizontal wavy channels. Zbl 0433.76053
Vajravelu, K.
1980
Natural convection at a heated semiinfinite vertical plate with internal heat generation. Zbl 0437.76076
Vajravelu, K.
1979
Existence of solutions of a nonlinear boundary value problem, arising in flow and heat transfer over a stretching sheet. Zbl 0755.35098
Soewono, E.; Vajravelu, K.; Mohapatra, R. N.
1992
Analytical and numerical solutions of nonlinear differential equations arising in non-Newtonian fluid flows. Zbl 0974.34017
Vajravelu, K.; Cannon, J. R.; Rollins, D.
2000
A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations. Zbl 1444.65044
Baxter, Mathew; Dewasurendra, Mangalagama; Vajravelu, Kuppalapalle
2018
MHD mixed convection heat transfer over a non-linear slender elastic sheet with variable fluid properties. Zbl 1378.76140
Prasad, K. V.; Vaidya, Hanumesh; Vajravelu, K.
2017
Nanofluid flow and heat transfer in a cavity with variable magnetic field. Zbl 1411.76171
Sheikholeslami, M.; Vajravelu, K.
2017
Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid. Zbl 1386.76012
Vajravelu, K.; Sreenadh, S.; Saravana, R.
2017
Mixed convective flow of a Casson fluid over a vertical stretching sheet. Zbl 1397.76112
Vajravelu, K.; Prasad, K. V.; Vaidya, Hanumesh; Basha, Neelufer Z.; Ng, Chiu-On
2017
MHD flow and heat transfer over a slender elastic permeable sheet in a rotating fluid with Hall current. Zbl 1397.76186
Vajravelu, K.; Prasad, K. V.; Ng, Chiu-On; Vaidya, Hanumesh
2017
The effect of heat transfer on the nonlinear peristaltic transport of a Jeffrey fluid through a finite vertical porous channel. Zbl 1331.76019
Vajravelu, K.; Sreenadh, S.; Lakshminarayana, P.; Sucharitha, G.
2016
Several types of similarity solutions for the Hunter-Saxton equation. Zbl 1319.35110
Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle
2015
On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. Zbl 1293.65137
Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle
2014
Keller-box method and its application. Zbl 1305.76002
2014
Flow and heat transfer of nanofluids at a stagnation point flow over a stretching/shrinking surface in a porous medium with thermal radiation. Zbl 1334.76155
Pal, Dulal; Mandal, Gopinath; Vajravelu, K.
2014
Peristaltic transport of a conducting Jeffrey fluid in an inclined asymmetric channel. Zbl 1305.76009
Vajravelu, K.; Sreenadh, S.; Sucharitha, G.; Lakshminarayana, P.
2014
Solution method for the transformed time-dependent Michaelis-Menten enzymatic reaction model. Zbl 1331.92061
Li, Ronald; van Gorder, Robert A.; Mallory, Kristina; Vajravelu, Kuppalapalle
2014
Several classes of exact solutions to the 1+1 Born-Infeld equation. Zbl 1457.78004
Mallory, Kristina; Van Gorder, Robert A.; Vajravelu, Kuppalapalle
2014
Exact and numerical solutions of MHD nano boundary-layer flows over stretching surfaces in a porous medium. Zbl 1410.76470
Aly, E. H.; Vajravelu, K.
2014
Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Zbl 1293.76123
Chamkha, Ali J.; Abbasbandy, S.; Rashad, A. M.; Vajravelu, K.
2013
Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists. Zbl 1284.91057
Snyder, Brooke C.; Van Gorder, Robert A.; Vajravelu, K.
2013
Combined influence of velocity slip, temperature and concentration jump conditions on MHD peristaltic transport of a carreau fluid in a non-uniform channel. Zbl 1334.76174
Vajravelu, K.; Sreenadh, S.; Saravana, R.
2013
Chemically reactive solute transfer in a moving fluid over a moving surface. Zbl 1401.76162
Mukhopadhyay, Swati; Vajravelu, Kuppalapalle; Van Gorder, Robert A.
2013
MHD flow and heat transfer over a stretching surface with variable thermal conductivity and partial slip. Zbl 1293.76175
Nandeppanavar, Mahantesh M.; Vajravelu, K.; Subhas Abel, M.; Siddalingappa, M. N.
2013
Nonlinear flow phenomena and homotopy analysis. Fluid flow and heat transfer. Zbl 1277.35005
Vajravelu, Kuppalapalle; Van Gorder, Robert A.
2012
Hydromagnetic stagnation point flow of a viscous fluid over a stretching or shrinking sheet. Zbl 1293.76179
van Gorder, Robert A.; Vajravelu, K.; Pop, I.
2012
MHD flow and heat transfer of a UCM fluid over a stretching surface with variable thermophysical properties. Zbl 1293.76177
Prasad, K. V.; Sujatha, A.; Vajravelu, K.; Pop, I.
2012
MHD flow and mass transfer of chemically reactive upper convected Maxwell fluid past porous surface. Zbl 1266.76065
Vajravelu, K.; Prasad, K. V.; Sujatha, A.; Ng, Chiu-on
2012
Heat transfer in a liquid film over an unsteady stretching sheet. Zbl 1262.80041
Nandeppanavar, Mahantesh M.; Vajravelu, K.; Subhas Abel, M.; Ravi, S.; Jyoti, H.
2012
Axisymmetric magneto-hydrodynamic (MHD) flow and heat transfer at a non-isothermal stretching cylinder. Zbl 1311.76148
Vajravelu, K.; Prasad, K. V.; Santhi, S. R.
2012
Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall. Zbl 1316.76111
Raftari, Behrouz; Vajravelu, Kuppalapalle
2012
Unsteady flow and heat transfer in a thin film of Ostwald-de Waele liquid over a stretching surface. Zbl 1316.76013
Vajravelu, K.; Prasad, K. V.; Ng, Chiu-On
2012
On thin film flow of a third-grade fluid down an inclined plane. Zbl 1293.76038
Kumaran, V.; Tamizharasi, R.; Merkin, J. H.; Vajravelu, K.
2012
Natural convection heat transfer of a viscous fluid in a vertical porous channel. Zbl 1254.76132
Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; Van Gorder, Robert A.
2012
Peristaltic transport of a Williamson fluid in asymmetric channels with permeable walls. Zbl 1254.76188
Vajravelu, K.; Sreenadh, S.; Rajanikanth, K.; Lee, Changhoon
2012
Axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder. Zbl 1264.76012
Nadeem, S.; Rehman, Abdul; Vajravelu, K.; Lee, Jinho; Lee, Changhoon
2012
Erratum to: “Existence and uniqueness results for a nonlinear differential equation arising in stagnation point flow in a porous medium”. Zbl 1401.76144
Van Gorder, Robert A.; Vajravelu, Kuppalapalle
2012
Stability analysis of the dual solutions for stagnation-point flow over a non-linearly stretching surface. Zbl 1293.76075
Mahapatra, Tapas Ray; Nandy, Samir Kumar; Vajravelu, Kuppalapalle; van Gorder, Robert A.
2012
Corrigendum to “Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner-Skan flow”. Zbl 1417.76018
Van Gorder, Robert A.; Vajravelu, K.
2012
Mathematical properties of $$\hbar$$-curve in the frame work of the homotopy analysis method. Zbl 1222.65060
Abbasbandy, S.; Shivanian, E.; Vajravelu, K.
2011
Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces. Zbl 1231.35155
Talay Akyildiz, F.; Bellout, Hamid; Vajravelu, Kuppalapalle; Van Gorder, Robert A.
2011
The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum. Zbl 1343.76073
Vajravelu, K.; Sreenadh, S.; Lakshminarayana, P.
2011
Multiple solutions for hydromagnetic flow of a second grade fluid over a stretching or shrinking sheet. Zbl 1329.76049
Van Gorder, Robert A.; Vajravelu, K.
2011
Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet. Zbl 1229.34041
Van Gorder, Robert A.; Vajravelu, K.; Akyildiz, F. Talay
2011
Diffusion of a chemically reactive species of a power-law fluid past a stretching surface. Zbl 1228.76153
Vajravelu, K.; Prasad, K. V.; Rao, N. S. Prasanna
2011
Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption. Zbl 1388.76349
Van Gorder, Robert A.; Vajravelu, K.
2011
Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with thermal radiation and non-uniform heat source/sink. Zbl 1312.76063
Nandeppanavar, Mahantesh M.; Vajravelu, K.; Subhas Abel, M.
2011
Heat transfer over a nonlinearly stretching sheet with non-uniform heat source and variable wall temperature. Zbl 1226.80018
Nandeppanavar, Mahantesh M.; Vajravelu, K.; Subhas Abel, M.; Ng, Chiu-On
2011
Analytical solution for the unsteady MHD flow of a viscous fluid between moving parallel plates. Zbl 1221.76248
Sweet, Erik; Vajravelu, K.; Van Gorder, Robert A.; Pop, I.
2011
Non-Darcian flow and heat transfer along a permeable vertical surface with nonlinear density temperature variation. Zbl 1385.76013
Prasad, K. V.; Vajravelu, K.; Van Gorder, Robert A.
2011
Stability analysis of fluid flow over a nonlinearly stretching sheet. Zbl 1271.76089
Mahapatra, T. Ray; Nandy, S. K.; Vajravelu, K.; Van Gorder, Robert A.
2011
Peristaltic flow of a Sisko fluid in an endoscope: analytical and numerical solutions. Zbl 1423.76524
Nadeem, S.; Akbar, Noreen Sher; Vajravelu, K.
2011
Self-similar solutions to Lin-Reissner-Tsien equation. Zbl 1373.76074
Haussermann, J.; Vajravelu, K.; Van Gorder, R. A.
2011
Nano boundary layers over stretching surfaces. Zbl 1221.76024
Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K.
2010
Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1201.34048
Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; Cannon, J. R.; van Gorder, Robert A.
2010
Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner-Skan flow. Zbl 1222.76033
Van Gorder, Robert A.; Vajravelu, K.
2010
Analytical and numerical results for the Swift-Hohenberg equation. Zbl 1252.65178
Talay Akyildiz, F.; Siginer, Dennis A.; Vajravelu, K.; van Gorder, Robert A.
2010
A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation. Zbl 1195.35010
Van Gorder, Robert A.; Vajravelu, K.
2010
Analytical and numerical solutions of the density dependent Nagumo telegraph equation. Zbl 1201.35073
Van Gorder, Robert A.; Vajravelu, K.
2010
Hydromagnetic flow and heat transfer of a non-Newtonian power law fluid over a vertical stretching sheet. Zbl 1183.80051
Prasad, K. V.; Datti, P. S.; Vajravelu, K.
2010
A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems. Zbl 1211.34037
Van Gorder, Robert A.; Vajravelu, K.
2010
Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks. Zbl 1277.76024
Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K.
2010
Hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet. Zbl 1272.76027
Van Gorder, Robert A.; Vajravelu, K.
2010
Existence and uniqueness results for a nonlinear differential equation arising in stagnation point flow in a porous medium. Zbl 1397.76142
Van Gorder, Robert A.; Vajravelu, Kuppalapalle
2010
Flow and heat transfer characteristics of a viscoelastic fluid in a porous medium over an impermeable stretching sheet with viscous dissipation. Zbl 1197.80019
Nandeppanavar, Mahantesh M.; Subhas Abel, M.; Vajravelu, K.
2010
A note on flow geometries and the similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1271.76068
Van Gorder, Robert A.; Vajravelu, Kuppalapalle
2010
On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Zbl 1221.65208
Van Gorder, Robert A.; Vajravelu, K.
2009
The explicit series solution of SIR and SIS epidemic models. Zbl 1171.92033
Khan, Hina; Mohapatra, Ram N.; Vajravelu, K.; Liao, S. J.
2009
Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet. Zbl 1176.80038
2009
Implicit differential equation arising in the steady flow of a Sisko fluid. Zbl 1160.76002
Akyildiz, F. Talay; Vajravelu, K.; Mohapatra, R. N.; Sweet, Erik; van Gorder, Robert A.
2009
An analytical solution for a nonlinear time-delay model in biology. Zbl 1221.65204
Khan, Hina; Liao, Shi-Jun; Mohapatra, R. N.; Vajravelu, K.
2009
MHD flow past a stretching permeable sheet. Zbl 1160.76056
Kumaran, V.; Banerjee, A. K.; Kumar, A. Vanav; Vajravelu, K.
2009
A new method for homoclinic solutions of ordinary differential equations. Zbl 1197.65212
Akyildiz, F. Talay; Vajravelu, K.; Liao, S.-J.
2009
Approximate analytic solutions of stagnation point flow in a porous medium. Zbl 1221.76148
Kumaran, V.; Tamizharasi, R.; Vajravelu, K.
2009
Third-order partial differential equations arising in the impulsive motion of a flat plate. Zbl 1221.74053
Van Gorder, Robert A.; Vajravelu, K.
2009
Viscoelastic stresses in the stagnation flow of a dilute polymer solution. Zbl 1178.76071
van Gorder, Robert A.; Vajravelu, K.; Akyildiz, F. Talay
2009
Analytic and numerical solutions to the Lane-Emden equation. Zbl 1223.85004
Van Gorder, Robert A.; Vajravelu, K.
2008
Series solutions of nano boundary layer flows by means of the homotopy analysis method. Zbl 1135.76016
Cheng, Jun; Liao, Shijun; Mohapatra, R. N.; Vajravelu, K.
2008
Analytical and numerical solutions of the density dependent diffusion Nagumo equation. Zbl 1221.92026
Van Gorder, Robert A.; Vajravelu, K.
2008
Analytic solution for axisymmetric flow over a nonlinearly stretching sheet. Zbl 1161.76460
Sajid, M.; Hayat, T.; Asghar, S.; Vajravelu, K.
2008
Magnetohydrodynamic flow of a viscoelastic fluid. Zbl 1220.76073
Akyildiz, F. Talay; Vajravelu, K.
2008
Fourier-Galerkin domain truncation method for Stokes’ first problem with Oldroyd four-constant liquid. Zbl 1142.65437
Akyildiz, F. Talay; Vajravelu, K.; Ozekes, H.
2008
Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation. Zbl 1200.76192
2007
The effects of variable fluid properties and thermocapillarity on the flow of a thin film on an unsteady stretching sheet. Zbl 1124.80317
Dandapat, B. S.; Santra, B.; Vajravelu, K.
2007
Corrigendum to “Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream” [Int. J. Eng. Sci. 35 (1997) 1237-1244]. Zbl 1213.76181
Vajravelu, K.
2007
Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024
Vajravelu, K.; Cannon, J. R.
2006
Diffusion of chemically reactive species in a porous medium over a stretching sheet. Zbl 1104.35038
Akyildiz, F. Talay; Bellout, Hamid; Vajravelu, K.
2006
Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow. Zbl 1132.76007
Akyildiz, F. Talay; Vajravelu, K.
2006
Peristaltic transport of a Herschel-Bulkley fluid in contact with a Newtonian fluid. Zbl 1407.76006
Vajravelu, K.; Sreenadh, S.; Ramesh Babu
2006
Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube. Zbl 1295.76039
Vajravelu, K.; Sreenadh, S.; Babu, V. Ramesh
2005
Peristaltic pumping of a Herschel–Bulkley fluid in a channel. Zbl 1079.76007
Vajravelu, K.; Sreenadh, S.; Babu, V. Ramesh
2005
Hydromagnetic flow of a second-grade fluid over a stretching sheet. Zbl 1034.76061
Vajravelu, K.; Rollins, D.
2004
Analytical and numerical solutions of a coupled non-linear system arising in a three-dimensional rotating flow. Zbl 1225.76223
Vajravelu, K.; Kumar, B. V. R.
2004
Exact solutions of nonlinear differential equations arising in third grade fluid flows. Zbl 1348.76011
Akyildiz, F. Talay; Bellout, Hamid; Vajravelu, K.
2004
Nonlinear convection at a porous flat plate with application to heat transfer from a dike. Zbl 1053.76064
Vajravelu, K.; Cannon, J. R.; Leto, J.; Semmoum, R.; Nathan, S.; Draper, M.; Hammock, D.
2003
Hydromagnetic flow at an oscillating plate. Zbl 1346.76213
Vajravelu, K.; Rivera, J.
2003
Pulsatile flow between permeable beds. Zbl 1348.76168
Vajravelu, K.; Ramesh, K.; Sreenadh, S.; Arunachalam, P. V.
2003
On solutions of some non-linear differential equations arising in third grade fluid flows. Zbl 1211.76015
Vajravelu, K.; Cannon, J. R.; Rollins, D.; Leto, J.
2002
Viscous flow over a nonlinearly stretching sheet. Zbl 1162.76335
Vajravelu, K.
2001
Hydromagnetic flow of a viscous fluid in an oscillating channel. Zbl 1059.76549
Vajravelu, K.; Rollins, D.
2001
Flow and heat transfer in a second-grade fluid over a stretching sheet. Zbl 1006.76005
Vajravelu, K.; Roper, T.
2000
Generalized quasilinearization for singular system of differential equations. Zbl 1038.34001
Abd-Ellateef Kamar, Ahmed R.; Attia, Gamal M.; Vajravelu, K.; Mosaad, M.
2000
Analytical and numerical solutions of nonlinear differential equations arising in non-Newtonian fluid flows. Zbl 0974.34017
Vajravelu, K.; Cannon, J. R.; Rollins, D.
2000
Extended method of quasilinearization for systems of nonlinear differential equations. Zbl 1041.34006
Vajravelu, K.; Vatsala, A. S.
2000
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