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

Authors : Baransel Güneş, Hakkı Duru

Pages : 569-587

Doi:10.31801/cfsuasmas.1327826

View : 45 | Download : 81

Publication Date : 2024-06-21

Article Type : Research Paper

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