Edit Profile (opens in new tab) Vajravelu, Kuppalapalle Co-Author Distance 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: 189 Publications since 1977, including 3 Books 1 Contribution as Editor Co-Authors: 119 Co-Authors with 164 Joint Publications 2,682 Co-Co-Authors all top 5 Co-Authors 18 single-authored 45 van Gorder, Robert Ashton 18 Prasad, Kerehalli V. 17 Mohapatra, Ram Narayan 14 Sreenadh, S. 11 Talay Akyildiz, F. 7 Dewasurendra, Mangalagama 6 Cannon, John Rozier 6 Soewono, Edy 6 Vaidya, Hanumesh 5 Abel, M. Subhas 5 Baxter, Mathew 5 Bellout, Hamid 5 Debnath, Lokenath 5 Nandeppanavar, Mahantesh M. 4 Lakshminarayana, P. 4 Liao, Shijun 4 Mukhopadhyay, Swati 4 Sastri, K. Suryanarayana 4 Siginer, Dennis A. 4 Sweet, Erik W. 3 Arunachalam, P. V. 3 Kumaran, Vishwanathan 3 Li, Ronald 3 Mallory, Kristina 3 Nayfeh, Jamal F. 3 Pal, Dulal 3 Pop, Ioan 3 Sucharitha, G. 2 Abbasbandy, Saeid 2 Aly, Emad H. 2 Andrews, Larry C. 2 Babu, V. Ramesh 2 Chamkha, Ali Jawad 2 Datti, P. S. 2 Hadjinicolaou, Alex E. 2 Juman, Z. A. M. S. 2 Khan, Hina 2 Lee, Changhoon 2 Leto, J. 2 Mahapatra, Tapas Ray 2 Nadeem, Sohail 2 Nandy, Samir Kumar 2 Nayfeh, Ali Hasan 2 Radhakrishnamacharya, G. 2 Sahabandu, C. W. 2 Santhi, S. R. 2 Saravana, R. 2 Sarojamma, Ganganapalli 2 Sheikholeslami, Mohsen 2 Sreelakshmi, K. 2 Sujatha, Arumugam 2 Tamizharasi, R. 2 Tomar, Saurabh 1 Abd-Ellateef Kamar, Ahmed R. 1 Akbar, Noreen Sher 1 Asghar, Saleem 1 Attia, Gamal M. 1 Awgichew, Gurju 1 Basha, Neelufer Z. 1 Benarroch, Joseph 1 Cheng, Jun 1 Dandapat, Bhabani Shankar 1 Das, Bhuban Chandra 1 Devaki, P. 1 Ebaid, Abdelhalim 1 Farotimi, Oluwaseun 1 Ghosh, Sudipta 1 Guinovart-Díaz, Raúl 1 Guinovart-Sanjuán, David 1 Hammock, D. 1 Haussermann, John 1 Hayat, Tasawar 1 Jyothi, P. Krishna 1 Jyoti, H. 1 Karunarathna, D. 1 Kelly, D. E. Tjin Tham Sjin 1 Kumar, A. Vanav 1 Kumar, Bayya Venkatesulu Rathish 1 Kumar, Rakesh 1 Kumar, Ravinder 1 Lee, Jinho 1 Makowski, Kalie 1 Mandal, Gopinath 1 Mandal, Iswar Chandra 1 Merkin, John H. 1 Merodio, Jose 1 Metri, Prashant G. 1 Mosaad, M. 1 Nathan, S. 1 Ossi, Nicholas 1 Özekes, Hasan 1 Radhakrishnamurty, V. 1 Raftari, Behrouz 1 Rahman, M. Mahabubur 1 Rahman, Mohammad Mansur 1 Rajanikanth, K. 1 Ramos, Higinio 1 Rao, N. S. Prasanna 1 Rashad, Ahmed M. 1 Rehman, Abdul ...and 19 more Co-Authors all top 5 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 8 International Journal of Applied and Computational Mathematics 8 Applied Mathematics and Nonlinear Sciences 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 Computers & Mathematics with Applications 3 Journal of Engineering Mathematics 3 Physics Letters. A 3 International Journal of Biomathematics 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 Computational and Applied Mathematics 2 Journal of Mathematical Chemistry 2 Communications in Theoretical Physics 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 Mathematics and Computers in Simulation 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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 all top 5 Fields 151 Fluid mechanics (76-XX) 61 Classical thermodynamics, heat transfer (80-XX) 37 Partial differential equations (35-XX) 31 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 10 Biology and other natural sciences (92-XX) 6 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 150 Publications have been cited 1,399 times in 987 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. 54 2009 Analytic and numerical solutions to the Lane-Emden equation. Zbl 1223.85004 Van Gorder, Robert A.; Vajravelu, K. 47 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. 45 2008 Viscous flow over a nonlinearly stretching sheet. Zbl 1162.76335 Vajravelu, K. 44 2001 Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation. Zbl 1200.76192 Vajravelu, K.; Radhakrishnamacharya, G.; Radhakrishnamurty, V. 40 2007 Mathematical properties of \(\hbar\)-curve in the frame work of the homotopy analysis method. Zbl 1222.65060 Abbasbandy, S.; Shivanian, E.; Vajravelu, K. 39 2011 Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream. Zbl 0907.76084 Vajravelu, K.; Hadjinicolaou, A. 36 1997 Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube. Zbl 1295.76039 Vajravelu, K.; Sreenadh, S.; Babu, V. Ramesh 34 2005 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. 32 2007 Nano boundary layers over stretching surfaces. Zbl 1221.76024 Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K. 31 2010 Flow and heat transfer in a second-grade fluid over a stretching sheet. Zbl 1006.76005 Vajravelu, K.; Roper, T. 31 2000 Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024 Vajravelu, K.; Cannon, J. R. 29 2006 Hydromagnetic flow of a second-grade fluid over a stretching sheet. Zbl 1034.76061 Vajravelu, K.; Rollins, D. 28 2004 The explicit series solution of SIR and SIS epidemic models. Zbl 1171.92033 Khan, Hina; Mohapatra, Ram N.; Vajravelu, K.; Liao, S. J. 27 2009 Heat transfer in an electrically conducting fluid over a stretching surface. Zbl 0775.76218 Vajravelu, K.; Rollins, D. 27 1992 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. 26 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. 23 2011 Diffusion of chemically reactive species in a porous medium over a stretching sheet. Zbl 1104.35038 Akyildiz, F. Talay; Bellout, Hamid; Vajravelu, K. 20 2006 Nanofluid flow and heat transfer in a cavity with variable magnetic field. Zbl 1411.76171 Sheikholeslami, M.; Vajravelu, K. 20 2017 Heat transfer in a viscoelastic fluid over a stretching sheet. Zbl 0725.76019 Vajravelu, K.; Rollins, D. 19 1991 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. 19 2013 An analytical solution for a nonlinear time-delay model in biology. Zbl 1221.65204 Khan, Hina; Liao, Shi-Jun; Mohapatra, R. N.; Vajravelu, K. 18 2009 Heat transfer in a second-order fluid over a continuous stretching surface. Zbl 0753.76017 Rollins, D.; Vajravelu, K. 18 1991 Convective heat transfer at a stretching sheet. Zbl 0775.76179 Vajravelu, K.; Nayfeh, J. 18 1993 Nonlinear flow phenomena and homotopy analysis. Fluid flow and heat transfer. Zbl 1277.35005 Vajravelu, Kuppalapalle; Van Gorder, Robert A. 17 2012 Peristaltic pumping of a Herschel–Bulkley fluid in a channel. Zbl 1079.76007 Vajravelu, K.; Sreenadh, S.; Babu, V. Ramesh 17 2005 Hydromagnetic flow and heat transfer over a continuous, moving, porous, flat surface. Zbl 0614.76114 Vajravelu, K. 17 1986 Hydromagnetic flow of a dusty fluid over a stretching sheet. Zbl 0775.76219 Vajravelu, K.; Nayfeh, J. 16 1992 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. 15 2004 Flow and heat transfer in a saturated porous medium over a stretching surface. Zbl 0821.76078 Vajravelu, K. 15 1994 Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet. Zbl 1176.80038 Prasad, K. V.; Vajravelu, K. 15 2009 Convection heat transfer at a stretching sheet with suction or blowing. Zbl 0816.76086 Vajravelu, K. 14 1994 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. 14 2009 On the method of inverse mapping for solutions of coupled systems of nonlinear differential equations arising in nanofluid flow, heat and mass transfer. Zbl 1524.34039 Dewasurendra, Mangalagama; Vajravelu, Kuppalapalle 14 2018 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. 13 1978 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. 12 2017 Generalized quasilinearization method for second-order boundary value problems. Zbl 0922.34018 Mohapatra, R. N.; Vajravelu, K.; Yin, Y. 11 1999 On fluid dynamic drag reduction in some boundary layer flows. Zbl 0698.76045 Vajravelu, K.; Mohapatra, R. N. 11 1990 Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner-Skan flow. Zbl 1222.76033 Van Gorder, Robert A.; Vajravelu, K. 10 2010 Magnetohydrodynamic flow of a viscoelastic fluid. Zbl 1220.76073 Akyildiz, F. Talay; Vajravelu, K. 9 2008 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. 9 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. 9 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. 9 2010 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. 9 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. 9 2003 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. 9 2016 A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation. Zbl 1195.35010 Van Gorder, Robert A.; Vajravelu, K. 9 2010 Peristaltic transport of a Williamson fluid in asymmetric channels with permeable walls. Zbl 1254.76188 Vajravelu, K.; Sreenadh, S.; Rajanikanth, K.; Lee, Changhoon 9 2012 Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists. Zbl 1284.91057 Snyder, Brooke C.; Van Gorder, Robert A.; Vajravelu, K. 9 2013 Analytical and numerical solutions of the density dependent diffusion Nagumo equation. Zbl 1221.92026 Van Gorder, Robert A.; Vajravelu, K. 8 2008 Extension of the method of quasilinearization and rapid convergence. Zbl 0908.65056 Mohapatra, R. N.; Vajravelu, K.; Yin, Y. 8 1998 MHD flow past a stretching permeable sheet. Zbl 1160.76056 Kumaran, V.; Banerjee, A. K.; Kumar, A. Vanav; Vajravelu, K. 8 2009 Existence and nonuniqueness of solutions of a singular nonlinear boundary-layer problem. Zbl 0733.34031 Soewono, E.; Vajravelu, K.; Mohapatra, R. N. 8 1991 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. 8 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. 8 2012 Analytical and numerical solutions of the density dependent Nagumo telegraph equation. Zbl 1201.35073 Van Gorder, Robert A.; Vajravelu, K. 8 2010 Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow. Zbl 1132.76007 Akyildiz, F. Talay; Vajravelu, K. 7 2006 Analytic solution for axisymmetric flow over a nonlinearly stretching sheet. Zbl 1161.76460 Sajid, M.; Hayat, T.; Asghar, S.; Vajravelu, K. 7 2008 An improved quasilinearization method for second order nonlinear boundary value problems. Zbl 0893.34015 Mohapatra, R. N.; Vajravelu, K.; Yin, Y. 7 1997 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. 7 1999 Generalized quasilinearization method and rapid convergence for first order initial value problems. Zbl 0876.65051 Mohapatra, R. N.; Vajravelu, K.; Yin, Y. 7 1997 Some second order nonlinear systems arising in natural convection heat transfer. Zbl 0785.35081 Vajravelu, K.; Mohapatra, R. N.; Soewono, E. 7 1993 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 7 2014 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 7 2012 Hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet. Zbl 1272.76027 Van Gorder, Robert A.; Vajravelu, K. 7 2010 Exact solutions of nonlinear differential equations arising in third grade fluid flows. Zbl 1348.76011 Akyildiz, F. Talay; Bellout, Hamid; Vajravelu, K. 6 2004 Unsteady flow of two immiscible conducting fluids between two permeable beds. Zbl 0844.76097 Vajravelu, K.; Arunachalam, P. V.; Sreenadh, S. 6 1995 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. 6 2011 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 6 2018 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. 6 2013 A new method for homoclinic solutions of ordinary differential equations. Zbl 1197.65212 Akyildiz, F. Talay; Vajravelu, K.; Liao, S.-J. 6 2009 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. 6 2010 Hydromagnetic convection at a continuous moving surface. Zbl 0655.76089 Vajravelu, K. 5 1988 Pulsatile flow between permeable beds. Zbl 1348.76168 Vajravelu, K.; Ramesh, K.; Sreenadh, S.; Arunachalam, P. V. 5 2003 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. 5 2011 Approximate analytic solutions of stagnation point flow in a porous medium. Zbl 1221.76148 Kumaran, V.; Tamizharasi, R.; Vajravelu, K. 5 2009 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 5 2012 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. 5 2010 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. 5 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. 5 1977 Peristaltic transport of a conducting Jeffrey fluid in an inclined asymmetric channel. Zbl 1305.76009 Vajravelu, K.; Sreenadh, S.; Sucharitha, G.; Lakshminarayana, P. 5 2014 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 5 2011 Several classes of exact solutions to the 1+1 Born-Infeld equation. Zbl 1457.78004 Mallory, Kristina; Van Gorder, Robert A.; Vajravelu, Kuppalapalle 5 2014 Peristaltic slip flow of a Bingham fluid in an inclined porous conduit with Joule heating. Zbl 1524.76459 Lakshminarayana, P.; Vajravelu, K.; Sucharitha, G.; Sreenadh, S. 5 2018 Peristaltic transport of a Herschel-Bulkley fluid in contact with a Newtonian fluid. Zbl 1407.76006 Vajravelu, K.; Sreenadh, S.; Ramesh Babu 4 2006 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 4 2012 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. 4 2002 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 4 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 4 2011 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. 4 1978 Keller-box method and its application. Zbl 1305.76002 Vajravelu, Kuppalapalle; Prasad, Kerehalli V. 4 2014 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. 4 2017 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. 4 2014 Effect of time-periodic boundary temperature modulations on the onset of convection in a Maxwell fluid-nanofluid saturated porous layer. Zbl 1356.76101 Umavathi, Jawali C.; Vajravelu, Kuppalapalle; Metri, Prashant G.; Silvestrov, Sergei 4 2016 A method of directly defining the inverse mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations. Zbl 1476.35098 Sahabandu, C. W.; Karunarathna, D.; Sewvandi, P.; Juman, Z. A. M. S.; Dewasurendra, M.; Vajravelu, K. 4 2021 Simplifying the variational iteration method: a new approach to obtain the Lagrange multiplier. Zbl 07619077 Tomar, Saurabh; Singh, Mehakpreet; Vajravelu, Kuppalapalle; Ramos, Higinio 4 2023 Galerkin-Chebyshev pseudo spectral method and a split step new approach for a class of two dimensional semi-linear parabolic equations of second order. Zbl 1515.65260 Talay Akyildiz, F.; Vajravelu, K. 4 2018 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. 4 2012 Hydromagnetic flow at an oscillating plate. Zbl 1346.76213 Vajravelu, K.; Rivera, J. 3 2003 Third-order partial differential equations arising in the impulsive motion of a flat plate. Zbl 1221.74053 Van Gorder, Robert A.; Vajravelu, K. 3 2009 Simplifying the variational iteration method: a new approach to obtain the Lagrange multiplier. Zbl 07619077 Tomar, Saurabh; Singh, Mehakpreet; Vajravelu, Kuppalapalle; Ramos, Higinio 4 2023 An effective method for solving singular boundary value problems with some relevant physical applications. Zbl 1499.34167 Tomar, Saurabh; Verma, A. K.; Vajravelu, K. 2 2022 Semi-analytical method for propagation of harmonic waves in nonlinear magneto-thermo-elasticity. Zbl 1524.35475 Sahabandu, C. W.; Dewasurendra, M.; Juman, Z. A. M. S.; Vajravelu, K.; Chamkha, Ali J. 1 2022 A method of directly defining the inverse mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations. Zbl 1476.35098 Sahabandu, C. W.; Karunarathna, D.; Sewvandi, P.; Juman, Z. A. M. S.; Dewasurendra, M.; Vajravelu, K. 4 2021 Melting heat transfer of MHD micropolar fluid flow past an exponentially stretching sheet with slip and thermal radiation. Zbl 1491.76096 Mandal, Iswar Chandra; Mukhopadhyay, Swati; Vajravelu, Kuppalapalle 1 2021 Heat transfer analysis in a micropolar fluid with non-linear thermal radiation and second-order velocity slip. Zbl 1445.80006 Vijaya Lakshmi, R.; Sarojamma, G.; Sreelakshmi, K.; Vajravelu, K. 1 2019 On the method of inverse mapping for solutions of coupled systems of nonlinear differential equations arising in nanofluid flow, heat and mass transfer. Zbl 1524.34039 Dewasurendra, Mangalagama; Vajravelu, Kuppalapalle 14 2018 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 6 2018 Peristaltic slip flow of a Bingham fluid in an inclined porous conduit with Joule heating. Zbl 1524.76459 Lakshminarayana, P.; Vajravelu, K.; Sucharitha, G.; Sreenadh, S. 5 2018 Galerkin-Chebyshev pseudo spectral method and a split step new approach for a class of two dimensional semi-linear parabolic equations of second order. Zbl 1515.65260 Talay Akyildiz, F.; Vajravelu, K. 4 2018 A method of directly defining the inverse mapping for solutions of non-linear coupled systems arising in convection heat transfer in a second grade fluid. Zbl 1429.76031 Dewasurendra, Mangalagama; Baxter, Mathew; Vajravelu, Kuppalapalle 3 2018 Wall properties and slip consequences on peristaltic transport of a casson liquid in a flexible channel with heat transfer. Zbl 1524.92037 Devaki, P.; Sreenadh, S.; Vajravelu, K.; Prasad, K. V.; Vaidya, Hanumesh 1 2018 Nanofluid flow and heat transfer in a cavity with variable magnetic field. Zbl 1411.76171 Sheikholeslami, M.; Vajravelu, K. 20 2017 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. 12 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. 4 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 3 2017 Mixed convective boundary layer MHD flow along a vertical elastic sheet. Zbl 1397.76111 Vajravelu, K.; Li, Ronald; Dewasurendra, M.; Prasad, K. V. 1 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 1 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. 9 2016 Effect of time-periodic boundary temperature modulations on the onset of convection in a Maxwell fluid-nanofluid saturated porous layer. Zbl 1356.76101 Umavathi, Jawali C.; Vajravelu, Kuppalapalle; Metri, Prashant G.; Silvestrov, Sergei 4 2016 Fluid flow, heat and mass transfer at bodies of different. Numerical solutions. Zbl 1343.80001 Vajravelu, Kuppalapalle; Mukhopadhyay, Swati 1 2016 Several types of similarity solutions for the Hunter-Saxton equation. Zbl 1319.35110 Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle 3 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 7 2014 Peristaltic transport of a conducting Jeffrey fluid in an inclined asymmetric channel. Zbl 1305.76009 Vajravelu, K.; Sreenadh, S.; Sucharitha, G.; Lakshminarayana, P. 5 2014 Several classes of exact solutions to the 1+1 Born-Infeld equation. Zbl 1457.78004 Mallory, Kristina; Van Gorder, Robert A.; Vajravelu, Kuppalapalle 5 2014 Keller-box method and its application. Zbl 1305.76002 Vajravelu, Kuppalapalle; Prasad, Kerehalli V. 4 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. 4 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 2 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. 2 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. 19 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. 9 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. 6 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. 2 2013 Chemically reactive solute transfer in a moving fluid over a moving surface. Zbl 1401.76162 Mukhopadhyay, Swati; Vajravelu, Kuppalapalle; Van Gorder, Robert A. 2 2013 Nonlinear flow phenomena and homotopy analysis. Fluid flow and heat transfer. Zbl 1277.35005 Vajravelu, Kuppalapalle; Van Gorder, Robert A. 17 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. 9 2012 Peristaltic transport of a Williamson fluid in asymmetric channels with permeable walls. Zbl 1254.76188 Vajravelu, K.; Sreenadh, S.; Rajanikanth, K.; Lee, Changhoon 9 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. 8 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. 8 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 7 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 5 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 4 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. 4 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. 3 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. 2 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 2 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 2 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. 1 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. 1 2012 Mathematical properties of \(\hbar\)-curve in the frame work of the homotopy analysis method. Zbl 1222.65060 Abbasbandy, S.; Shivanian, E.; Vajravelu, K. 39 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. 26 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. 23 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. 6 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. 5 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 5 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 4 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 4 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. 3 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. 3 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. 2 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. 2 2011 Peristaltic flow of a Sisko fluid in an endoscope: analytical and numerical solutions. Zbl 1423.76524 Nadeem, S.; Akbar, Noreen Sher; Vajravelu, K. 1 2011 Self-similar solutions to Lin-Reissner-Tsien equation. Zbl 1373.76074 Haussermann, J.; Vajravelu, K.; Van Gorder, R. A. 1 2011 Nano boundary layers over stretching surfaces. Zbl 1221.76024 Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K. 31 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. 10 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. 9 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. 9 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. 9 2010 A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation. Zbl 1195.35010 Van Gorder, Robert A.; Vajravelu, K. 9 2010 Analytical and numerical solutions of the density dependent Nagumo telegraph equation. Zbl 1201.35073 Van Gorder, Robert A.; Vajravelu, K. 8 2010 Hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet. Zbl 1272.76027 Van Gorder, Robert A.; Vajravelu, K. 7 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. 6 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. 5 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 3 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 2 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. 2 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. 54 2009 The explicit series solution of SIR and SIS epidemic models. Zbl 1171.92033 Khan, Hina; Mohapatra, Ram N.; Vajravelu, K.; Liao, S. J. 27 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. 18 2009 Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet. Zbl 1176.80038 Prasad, K. V.; Vajravelu, K. 15 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. 14 2009 MHD flow past a stretching permeable sheet. Zbl 1160.76056 Kumaran, V.; Banerjee, A. K.; Kumar, A. Vanav; Vajravelu, K. 8 2009 A new method for homoclinic solutions of ordinary differential equations. Zbl 1197.65212 Akyildiz, F. Talay; Vajravelu, K.; Liao, S.-J. 6 2009 Approximate analytic solutions of stagnation point flow in a porous medium. Zbl 1221.76148 Kumaran, V.; Tamizharasi, R.; Vajravelu, K. 5 2009 Third-order partial differential equations arising in the impulsive motion of a flat plate. Zbl 1221.74053 Van Gorder, Robert A.; Vajravelu, K. 3 2009 Viscoelastic stresses in the stagnation flow of a dilute polymer solution. Zbl 1178.76071 van Gorder, Robert A.; Vajravelu, K.; Akyildiz, F. Talay 2 2009 Analytic and numerical solutions to the Lane-Emden equation. Zbl 1223.85004 Van Gorder, Robert A.; Vajravelu, K. 47 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. 45 2008 Magnetohydrodynamic flow of a viscoelastic fluid. Zbl 1220.76073 Akyildiz, F. Talay; Vajravelu, K. 9 2008 Analytical and numerical solutions of the density dependent diffusion Nagumo equation. Zbl 1221.92026 Van Gorder, Robert A.; Vajravelu, K. 8 2008 Analytic solution for axisymmetric flow over a nonlinearly stretching sheet. Zbl 1161.76460 Sajid, M.; Hayat, T.; Asghar, S.; Vajravelu, K. 7 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. 2 2008 Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation. Zbl 1200.76192 Vajravelu, K.; Radhakrishnamacharya, G.; Radhakrishnamurty, V. 40 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. 32 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. 1 2007 Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024 Vajravelu, K.; Cannon, J. R. 29 2006 Diffusion of chemically reactive species in a porous medium over a stretching sheet. Zbl 1104.35038 Akyildiz, F. Talay; Bellout, Hamid; Vajravelu, K. 20 2006 Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow. Zbl 1132.76007 Akyildiz, F. Talay; Vajravelu, K. 7 2006 Peristaltic transport of a Herschel-Bulkley fluid in contact with a Newtonian fluid. Zbl 1407.76006 Vajravelu, K.; Sreenadh, S.; Ramesh Babu 4 2006 Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube. Zbl 1295.76039 Vajravelu, K.; Sreenadh, S.; Babu, V. Ramesh 34 2005 ...and 50 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,315 Authors 84 Vajravelu, Kuppalapalle 67 Hayat, Tasawar 53 van Gorder, Robert Ashton 33 Al-saedi, Ahmed Eid Salem 29 Pop, Ioan 23 Ahmad, Bashir 20 Prasad, Kerehalli V. 19 Nadeem, Sohail 17 Abbasbandy, Saeid 17 Asghar, Saleem 17 Liao, Shijun 17 Pal, Dulal 13 Akbar, Noreen Sher 13 Sajid, Muhammad 12 Abel, M. Subhas 12 Gireesha, Bijjanal Jayanna 11 Agarwal, Ravi P. 11 Sreenadh, S. 10 Abbas, Zaheer 10 Chamkha, Ali Jawad 10 de la Sen, Manuel 10 Ntouyas, Sotiris K. 10 Zheng, Liancun 9 Alonso Quesada, Santiago 9 Das, Kalidas 9 Hashim, Ishak 9 Ibeas, Asier 9 Motsa, Sandile Sydney 9 Turkyilmazoglu, Mustafa 8 Aly, Emad H. 8 Ellahi, Rahmat 8 Fang, Tiegang 8 Hina, Sadia 8 Malik, Muhammad Yousaf 7 Bhrawy, Ali Hassan 7 Cortell, Rafael 7 Dewasurendra, Mangalagama 7 Mukhopadhyay, Swati 7 Nandeppanavar, Mahantesh M. 7 Rashidi, Mohammad Mehdi 7 Tlili, Iskander 7 Vaidya, Hanumesh 6 Ali, Asif Iqbal 6 Ali, Nasir 6 Baskonus, Haci Mehmet 6 Dinarvand, Saeed 6 Ebaid, Abdelhalim 6 Ferdows, Mohammad 6 García Guirao, Juan Luis 6 Hendi, Awatif A. 6 Mahmoud, Mostafa A. 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