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Research Article Open access CC BY 3.0

Numerical Integration with Exponential Fitting Factor for Singularly Perturbed Two Point Boundary Value Problems

K. Madhu Latha, K. Phaneendra, Y. N. Reddy

Journal of Advances in Mathematics and Computer Science · pp. 397–414 · Published 15 Jun 2013

10.9734/BJMCS/2013/3953

Abstract

In this paper, we discuss the numerical integration with exponential fitting factor for singularly perturbed two-point boundary value problems. It is based on the fact that: the given SPTPBVP is replaced by an asymptotically equivalent delay differential equation. Then, numerical integration with exponential fitting factor is employed to obtain a tridiagonal system which is solved efficiently by Thomas algorithm. We discussed convergence analysis of the method. Model examples are solved and the numerical results are compared with exact solution.

Singular perturbation problem boundary layer delay differential equation fitting factor trapezoidal rule

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