2021
1. L Jino and A Vanav Kumar and S Maity and P Mohanty and D S Sankar "Mathematical modeling of a nanofluid in a porous cavity with side wall temperature in the presence of magnetic field", AIP Conference Proceedings, 2021, vol.2336, 1, pp. 020007 (https://aip.scitation.org/doi/abs/10.1063/5.0046109)
2. R Balamurugan and A Vanav Kumar "Unsteady Casson Fluid Flow Past a Stretching Sheet Subject to Non Linear (Quadratic) Free Convection Along with Suction", Advances in Thermofluids and Renewable Energy. Lecture Notes in Mechanical Engineering. Springer, Singapore., 2021, pp. 191-207 (https://doi.org/10.1007/978-981-16-3497-0_15)
3. L. Jino and Swapnali Doley and A. Vanav Kumar "Numerical study of the space diffusion fractional Burger equation by using Lax-Friedrichs-implicit scheme", 4th International Conference on Mathematical Modelling, Applied Analysis and Computation-2021 (ICMMAAC-21), JECRC University, 2021
4. L Jino and A Vanav Kumar and Swapnali Doley and M Berlin and P K Mohanty "Numerical Modelling of Porous Square Cavity Heated on Vertical Walls in Presence of Magnetic Field", Advances in Thermofluids and Renewable Energy. Lecture Notes in Mechanical Engineering. Springer, Singapore., 2021, pp. 127-137 (https://link.springer.com/chapter/10.1007/978-981-16-3497-0_10)
2016
1. S. Maity, S. K. Singh and A. Vanav Kumar "Unsteady three dimensional flow of Casson liquid film over a porous stretching sheet in the presence of uniform transvers magnetic field and suction/injection", Journal of Magnetism and Magnetic Materials, 2016, vol.419, pp. 292-300
2013
1. Dr. A. Vanav Kumar "Transient behavior of chemical reaction and thermal radiation on mixed convection heat and mass transfer over a stretching sheet in Darcian porous medium with Soret and Dufour effects", MACKIE2013, 2013
2. A. Vanav Kumar, M. Kaliyappan "Heat Transfer effects due to viscous dissipation on unsteady boundary layer fluid flow past a stretching sheet subject to transverse magnetic field", Int. J. Engg. App. Res., 2013, vol.3(5), 2248-9622, pp. 1503-1508
3. M. Kaliyappan, A. Vanav Kumar, S. Hariharan "Sage package for symbolic computation of series solution of ODEs", Int. J. Engg. App. Res., 2013, vol.3(5), 2248-9622, pp. 1496-1503
4. A. Vanav Kumar "Numerical Simulation of Black Scholes Equations “stretching” Boundary Condition", AIMS10, 2013
5. A. Vanav Kumar "Finite difference simulation of barrier options", KalyaniDesikan, Int. Conf. on Business Anal. and intelligence, 2013
6. S. Hariharan, A. Vanav Kumar "Numerical Simulations of Black-Scholes equation with step change in boundary conditions", Indian Finance Conference, 2013
2012
1. A. K. Banerjee, A. Vanav Kumar, V. Kumaran "Unsteady MHD flow past a stretching sheet due to a heat source/sink", Dynamical systems and methods. Based on the 3rd conference on nonlinear science and complexity (Luo, Albert C.J. (ed.) et al.), Ankara, Turkey, 2012, pp. 291-299
2. Dr. A. Vanav Kumar "Transient behavior of chemical reaction and thermalradiation on mixed convection heat and mass transfer over a stretching sheet inDarcian porous medium with Soret and Dufour effects subject to constant massflux", NSMMA-2012, 2012
2011
1. Kumaran, A. K. Banerjee, A. Vanav Kumar, I. Pop "Unsteady MHD flow and heat transfer with viscous dissipation past a stretching sheet", International Communications in Heat and Mass Transfer, 2011, vol.38(3), pp. 335-339
2. V. Kumaran, A. Vanav Kumar, I. Pop "Transition of boundary layer flow past a stretching sheet due to a step change in applied constant mass flux. (English)", Acta Mech, 2011, vol.216 , no - 1-4, pp. 139-145
2010
1. V. Kumaran, A. Vanav Kumar, I. Pop "Transition of MHD boundary layer flow past a stretching sheet", Communications in Nonlinear Science and Numerical Simulation, 2010, vol.15, pp. 300-311
2009
1. V. Kumaran, A. K. Banerjee, A. Vanav Kumar, K.Vajravelu "MHD flow past a permeable stretching sheet", Applied Mathametics and Computation, 2009, vol.210, pp. 26-32
2008
1. V. Kumaran, A. Vanav Kumar, J. Sarat Chandra Babu "Impulsive boundary layer flow past a permeable quadratically stretching sheet", Nonlinear science and complexity. Based on the 2nd conference on nonlinear science and complexity(Tenreiro Machado, J. A. (ed.) et al.,), NSC ’08, Porto, Portugal, 2008, pp. 191-198
2. V. Kumaran, A. Vanav Kumar, J.Sarat Chandra Babu "Impulsive Boundary Layer Flow Past a Linearly Permeable Quadratically Stretching Sheet", Conference on Nonlinear Science and Complexity, 2008
3. A. Vanav Kumar, V. Kumaran, A. K. Banerjee "Unsteady MHD flow past an impulsively started semi infinite vertical flat plate with mass diffusion along with viscous dissipation and thermal radiation", Proceedings of the National Conference on Mathematical Modeling in Global Perspective, 2008, pp. 144-151
4. A. Vanav Kumar, V. Kumaran, A. K. Banerjee "Effect of viscous dissipation and thermal radiation on MHD unsteady boundary layer fluid flow with mass transfer past a stretching sheet", Proceedings of the National Conference on Mathematical Modeling in Global Perspective, 2008, pp. 152-158
5. A. Vanav Kumar, V. Kumaran, A. K.Banerjee "Effect of viscous dissipation and thermal radiation over an unsteady boundary layer fluid flow due to impulsively started vertical plate with variable temperature", Proceedings of International Conference on Digital Factory, 39th page in Abstract of the proceedings, 2008, pp. 395-402