Publication de 6 numéros par an
ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110
Indexed in
Exponentially Fitted Modified Upwind Scheme for Singular Perturbation Problems
RÉSUMÉ
In this paper, an exponentially fitted modified upwind scheme is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point. A fitting factor is introduced in a modified upwind scheme and is obtained from the theory of singular perturbations. A tridiagonal finite difference scheme is obtained and is solved by using the Thomas algorithm. Several linear and nonlinear problems are solved and observed, which show that the present method approximates the exact solution very well.
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Mohapatra J., Reddy N. Raji, Exponentially Fitted Finite Difference Scheme For Singularly Perturbed Two Point Boundary Value Problems, International Journal of Applied and Computational Mathematics, 1, 2, 2015. Crossref
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Raji Reddy N., Mohapatra Jugal, An Efficient Numerical Method for Singularly Perturbed Two Point Boundary Value Problems Exhibiting Boundary Layers, National Academy Science Letters, 38, 4, 2015. Crossref
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Mohapatra Jugal, A Computational Method for Solving Singularly Perturbed Boundary Value Problem, National Academy Science Letters, 41, 2, 2018. Crossref
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Alam Mohammad Javed, Prasad Hari Shankar, Ranjan Rakesh, A New Exponentially Fitted Numerical Integration Scheme for Solving Singularly Perturbed Two Point Boundary Value Problems, WSEAS TRANSACTIONS ON MATHEMATICS, 19, 2020. Crossref