V
V. Shanthi
Researcher at National Institute of Technology, Tiruchirappalli
Publications - 32
Citations - 428
V. Shanthi is an academic researcher from National Institute of Technology, Tiruchirappalli. The author has contributed to research in topics: Boundary value problem & Numerical analysis. The author has an hindex of 10, co-authored 23 publications receiving 319 citations. Previous affiliations of V. Shanthi include Bharathidasan University.
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A Numerical Method for Solving Boundary and Interior Layers Dominated Parabolic Problems with Discontinuous Convection Coefficient and Source Terms
TL;DR: In this article, a parameter uniform numerical method is developed for a two-parameter singularly perturbed parabolic partial differential equation with discontinuous convection coefficient and source term.
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A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
V. Shanthi,N. Ramanujam +1 more
TL;DR: Newton's method of quasi-linearization is applied to solveSingularly perturbed two-point boundary value problems (BVPs) for fourth-order ordinary differential equations (ODEs) with a small positive parameter multiplying the highest derivative are considered.
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A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term
TL;DR: In this paper, a numerical method based on finite difference scheme and Shishkin mesh for singularly perturbed two second order weakly coupled system of ordinary differential equations with discontinuous source term is presented.
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Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
TL;DR: In this article, a robust numerical method for a singularly perturbed secondorder ordinary differential equation having two parameters with a discontinuous source term is presented, and theoretical bounds are derived for the derivatives of the solution and its smooth and singular components.
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A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations
V. Shanthi,N. Ramanujam +1 more
TL;DR: In this article, a numerical method is suggested to solve singularly perturbed two-point boundary value problems (BVPs) for fourth-order ODEs with a small positive parameter multiplying the highest derivative.