Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations

AUTOR(ES)
FONTE

Computational & Applied Mathematics

DATA DE PUBLICAÇÃO

2005-08

RESUMO

In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve such boundary value problems. The stability and convergence analysis of the method is studied. The solution of the boundary value problems when delay is zero, exhibits layer behavior. Here, the study focuses on the effect of delay on the boundary layer behavior of the solution via numerical approach. The effect of the delay on the boundary layer behavior of the solution is shown by carrying out some numerical experiments.

Documentos Relacionados