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Wondwosen Gebeyaw Melesse,Awoke Andargie Tiruneh,Getachew Adamu Derese 한국전산응용수학회 2020 Journal of applied mathematics & informatics Vol.38 No.1
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.
MELESSE, WONDWOSEN GEBEYAW,TIRUNEH, AWOKE ANDARGIE,DERESE, GETACHEW ADAMU The Korean Society for Computational and Applied M 2020 Journal of applied mathematics & informatics Vol.38 No.1
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.