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http://dx.doi.org/10.14317/jami.2020.113

FITTED MESH METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL TURNING POINT PROBLEMS EXHIBITING TWIN BOUNDARY LAYERS

MELESSE, WONDWOSEN GEBEYAW (Department of Mathematics, College of Natural and Computational Sciences, Dilla University)
TIRUNEH, AWOKE ANDARGIE (Department of Mathematics, College of Sciences, Bahir Dar University)
DERESE, GETACHEW ADAMU (Department of Mathematics, College of Sciences, Bahir Dar University)

Publication Information

Journal of applied mathematics & informatics / v.38, no.1_2, 2020 , pp. 113-132 More about this Journal

Abstract

In this paper, a class of linear second order singularly perturbed delay differential turning point problems containing a small delay (or negative shift) on the reaction term and when the solution of the problem exhibits twin boundary layers are examined. A hybrid finite difference scheme on an appropriate piecewise-uniform Shishkin mesh is constructed to discretize the problem. We proved that the method is almost second order ε-uniformly convergent in the maximum norm. Numerical experiments are considered to illustrate the theoretical results.

Keywords

Singularly perturbed problems; Delay differential equations; Turning point problems; Hybrid difference schemes; Boundary layers;

Citations & Related Records

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