Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs

DOI10.1002/mma.2959zbMath1304.65228OpenAlexW2081738893MaRDI QIDQ2922243

A. Peiraviminaei, Farideh Ghoreishi

Publication date: 9 October 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2959

zbMATH Keywords

singular perturbationerror analysisspectral methodChebyshev collocation methodnumerical resultdelay parabolic partial differential equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs

Cites Work

• A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes.
• Singularly perturbed parabolic problems with non-smooth data.
• Theory and applications of partial functional differential equations
• A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
• Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations
• A Hermite-Type Collocation Method for the Solution of an Integral Equation with a Certain Weakly Singular Kernel
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• -uniform schemes with high-order time-accuracy for parabolic singular perturbation problems

This page was built for publication: Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs