NUMERICAL SOLUTION OF A BOUNDARY VALUE PROBLEM INCLUDING BOTH DELAY AND BOUNDARY LAYER

Author:

Cimen Erkan1

Affiliation:

1. Van Yuzuncu Yil University 65080, Van, Turkey

Abstract

Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed. Also, the method is proved that it gives essentially first order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference26 articles.

1. Numerical method for a singularly perturbed convection–diffusion problem with delay

2. A NUMERICAL STUDY ON THE DIFFERENCE SOLUTION OF SINGULARLY PERTURBED SEMILINEAR PROBLEM WITH INTEGRAL BOUNDARY CONDITION

3. A priori estimates for solution of singularly perturbed boundary value problem with delay in convection term;E. Cimen;Journal of Mathematical Analysis,2017

4. A uniform convergent method for singularly perturbed nonlinear differential-difference equation;E. Cimen;Journal of Informatics and Mathematical Sciences

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