A second-order numerical method for pseudo-parabolic equations having both layer behavior and delay parameter

Year 2024, Volume: 73 Issue: 2, 569 - 587, 21.06.2024

Baransel Güneş , Hakkı Duru

https://doi.org/10.31801/cfsuasmas.1327826

Abstract

In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with time-delay parameter are considered by numerically. Initially, the asymptotic properties of the analytical solution are investigated. Then, a discretization with exponential coefficient is suggested on a uniform mesh. The error approximations and uniform convergence of the presented method are estimated in the discrete energy norm. Finally, some numerical experiments are given to clarify the theory.

Keywords

Delay differential equation, difference scheme, error estimate, pseudo-parabolic problem, singular perturbation, uniform convergence

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