A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh

Abstract

This paper aims to establish the finite difference scheme on Bakhvalov-type mesh for the singularly perturbed pseudo-parabolic problems with time-delay. Using the energy estimates, the bounds of the solution are investigated. An error analysis is derived in the discrete energy norm and the almost second order convergence is obtained. The reliability of the suggested method is displayed by means of a numerical example.

Keywords:

• Delay differential equation
• difference scheme
• error estimate
• pseudo-parabolic problem
• singular perturbation

Mathematics Subject Classifications:

• 35B25
• 65M06
• 65M12
• 65M15

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been corrected with minor changes. These changes do not impact the academic content of the article..