Computational method for singularly perturbed delay differential equations of the reaction-diffusion type with negative shift

Abstract

A numerical method for solving singularly perturbed delay differential equations with a layer or oscillatory behavior for which a small shift is introduced in the reaction term is presented. The stability and convergence of the method have been investigated. To demonstrate the efficiency of the method, two model examples have been presented. Numerical results obtained by the present scheme described that the finding of the present method is accurate than the findings of the previous studies.

Keywords

• Singularly perturbed
• Delay differential equations
• Convergence
• El Niño model