Aswin Vs

Aswin Vs
National Institute of Technology Calicut | NITC · Department of Mathematics

About

10
Publications
2,909
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96
Citations
Citations since 2016
9 Research Items
94 Citations
20162017201820192020202120220510152025
20162017201820192020202120220510152025
20162017201820192020202120220510152025
20162017201820192020202120220510152025

Publications

Publications (10)
Article
In this article, the polynomial based differential quadrature method is used to develop a numerical scheme for solving convection–diffusion–reaction model with a general reaction term. The numerical scheme is found applicable to a wide set of problems including diffusion, convection–diffusion and diffusion–reaction. The validation of the method is...
Article
In this paper, a numerical technique is proposed to solve a two-dimensional coupled Burgers’ equation. The two-dimensional Cole–Hopf transformation is applied to convert the nonlinear coupled Burgers’ equation into a two-dimensional linear diffusion equation with Neumann boundary conditions. The diffusion equation with Neumann boundary conditions i...
Article
Full-text available
Even if numerical simulation of the Burgers’ equation is well documented in the literature, a detailed literature survey indicates that gaps still exist for comparative discussion regarding the physical and mathematical significance of the Burgers’ equation. Recently, an increasing interest has been developed within the scientific community, for st...
Article
Purpose This paper aims to investigate the features of three vectorized iterative numerical schemes used to simulate the behavior of modified Burgers equation (MBE). Design/methodology/approach Two of the schemes comprise differential quadrature and finite difference methods, while the third scheme consists of only differential quadrature for th...
Article
In this article, we introduce a new, simple, and accurate computational technique for one-dimensional Burgers' equation. The idea behind this method is the use of polynomial based differential quadrature (PDQ) for the discretization of both time and space derivatives. The quasilinearization process is used for the elimination of nonlinearity. The r...
Article
Full-text available
In this paper, polynomial based differential quadrature method is employed to construct the framework of three numerical schemes for reaction–diffusion problems. Finite difference methods are also used in conjunction with differential quadrature in two of the schemes. The schemes are validated through simulations of well known classical examples of...
Article
Full-text available
In this paper, three different numerical schemes are described to approximate the solution of the convection-diffusion equation. The methods are based on differential quadrature and finite difference. In the first scheme, time derivative is approximated using forward difference and the space derivatives using polynomial based differential quadratur...

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