Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations
- Resource Type
- article
- Authors
- Kadalbajoo, M.K.; Sharma, K.K.
- Source
- Computational & Applied Mathematics. August 2005 24(2)
- Subject
- delay differential equation
singularly perturbed boundary value problem
boundary layer
oscillations
- Language
- English
- ISSN
- 1807-0302
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.