An initial-value approach for solving singularly perturbed two-point boundary value problems YN Reddy, PP Chakravarthy Applied mathematics and computation 155 (1), 95-110, 2004 | 58 | 2004 |
Method of reduction of order for solving singularly perturbed two-point boundary value problems YN Reddy, PP Chakravarthy Applied Mathematics and Computation 136 (1), 27-45, 2003 | 38 | 2003 |
A finite difference method for singularly perturbed differential-difference equations with layer and oscillatory behavior RN Rao, PP Chakravarthy Applied Mathematical Modelling 37 (8), 5743-5755, 2013 | 32 | 2013 |
Fitted numerical methods for singularly perturbed one-dimensional parabolic partial differential equations with small shifts arising in the modelling of neuronal variability R Nageshwar Rao, P Pramod Chakravarthy Differential Equations and Dynamical Systems 27, 1-18, 2019 | 30 | 2019 |
An exponentially fitted finite difference method for singular perturbation problems YN Reddy, PP Chakravarthy Applied Mathematics and computation 154 (1), 83-101, 2004 | 26 | 2004 |
A fitted Numerov method for singularly perturbed parabolic partial differential equation with a small negative shift arising in control theory PPC R. Nageshwar Rao Numerical Mathematics: Theory, Methods and Applications 7 (1), 23-40, 2014 | 23 | 2014 |
Numerical patching method for singularly perturbed two-point boundary value problems using cubic splines YN Reddy, PP Chakravarthy Applied Mathematics and computation 149 (2), 441-468, 2004 | 22 | 2004 |
An adaptive mesh method for time dependent singularly perturbed differential-difference equations P Pramod Chakravarthy, K Kumar Nonlinear Engineering 8 (1), 328-339, 2019 | 20 | 2019 |
An exponentially fitted finite difference scheme for a class of singularly perturbed delay differential equations with large delays PP Chakravarthy, SD Kumar, RN Rao Ain Shams Engineering Journal 8 (4), 663-671, 2017 | 20 | 2017 |
A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression P Pramod Chakravarthy, S Dinesh Kumar, R Nageshwar Rao, DP Ghate Advances in Difference Equations 2015, 1-14, 2015 | 19 | 2015 |
A seventh order numerical method for singular perturbation problems PP Chakravarthy, K Phaneendra, YN Reddy Applied mathematics and computation 186 (1), 860-871, 2007 | 19 | 2007 |
Numerical solution of second order singularly perturbed delay differential equations via cubic spline in tension P Pramod Chakravarthy, S Dinesh Kumar, R Nageshwar Rao International Journal of Applied and Computational Mathematics 3, 1703-1717, 2017 | 18 | 2017 |
A modified Numerov method for solving singularly perturbed differential–difference equations arising in science and engineering PP Chakravarthy, RN Rao Results in Physics 2, 100-103, 2012 | 18 | 2012 |
A fitted numerov method for singular perturbation problems exhibiting twin layers K Phaneendra, PP Chakravarthy, YN Reddy Applied Mathematics & Information Sciences 4 (3), 341-352, 2010 | 18 | 2010 |
A novel method for singularly perturbed delay differential equations of reaction-diffusion type PP Chakravarthy, K Kumar Differential Equations and Dynamical Systems 29, 723-734, 2021 | 17 | 2021 |
Sc (OTf) 3/TsOH: a highly efficient catalytic system for the synthesis of 2, 6-dioxabicyclo [3, 2, 1] octane derivatives BVS Reddy, G Narasimhulu, YV Reddy, PP Chakravarthy, JS Yadav, ... Tetrahedron Letters 53 (24), 3100-3103, 2012 | 17 | 2012 |
A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters K Kumar, PP Chakravarthy, H Ramos, J Vigo-Aguiar Journal of Computational and Applied Mathematics 405, 113050, 2022 | 15 | 2022 |
An adaptive mesh selection strategy for solving singularly perturbed parabolic partial differential equations with a small delay K Kumar, T Gupta, P Pramod Chakravarthy, R Nageshwar Rao Applied Mathematics and Scientific Computing: International Conference on …, 2019 | 14 | 2019 |
Effect of nature of flux and flux gap on the depth-to-width ratio in flux-bounded TIG welding of AA6061: experiments and numerical simulations N Neethu, RG Togita, P Neelima, P Chakravarthy, SVS Narayana Murty, ... Transactions of the Indian Institute of Metals 72, 1585-1588, 2019 | 13 | 2019 |
An exponentially fitted tridiagonal finite difference method for singularly perturbed differential-difference equations with small shift RN Rao, PP Chakravarthy Ain Shams Engineering Journal 5 (4), 1351-1360, 2014 | 13 | 2014 |