A higher order uniformly convergent method for singularly perturbed delay parabolic partial differential equations

DOI10.1080/00207160.2017.1284317zbMath1398.65185OpenAlexW2579746777MaRDI QIDQ3177475

D. G. Alamery, Abdelhay A. Salama

Publication date: 25 July 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1284317

zbMATH Keywords

uniform convergencedelay differential equationboundary layerhigh-order methodsingularly perturbed parabolic problem

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (9)

Robust numerical schemes for singularly perturbed delay parabolic convection-diffusion problems with degenerate coefficient ⋮ A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation ⋮ A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs ⋮ Hybrid fitted numerical scheme for singularly perturbed convection-diffusion problem with a small time lag ⋮ Unnamed Item ⋮ A numerical approach for diffusion-dominant two-parameter singularly perturbed delay parabolic differential equations ⋮ A fourth-order optimal numerical approximation and its convergence for singularly perturbed time delayed parabolic problems ⋮ A fourth-order numerical scheme for singularly perturbed delay parabolic problem arising in population dynamics ⋮ A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters

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