Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem

Igor Boglaev; Matthew Hardy

doi:10.1016/j.cam.2006.01.026

Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem

Igor Boglaev^*, Matthew Hardy

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

This paper deals with a weighted average scheme (or θ-scheme) for solving a nonlinear singularly perturbed parabolic reaction-diffusion problem. The uniform convergence of the weighted average scheme on piecewise uniform and log-meshes is established. Numerical experiments are presented.

Original language	English
Pages (from-to)	705-721
Number of pages	17
Journal	Journal of Computational and Applied Mathematics
Volume	200
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2006.01.026
Publication status	Published - 15 Mar 2007

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title = "Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem",

abstract = "This paper deals with a weighted average scheme (or θ-scheme) for solving a nonlinear singularly perturbed parabolic reaction-diffusion problem. The uniform convergence of the weighted average scheme on piecewise uniform and log-meshes is established. Numerical experiments are presented.",

keywords = "Boundary layers, Parabolic reaction-diffusion problem, Uniform convergence, Weighted average scheme",

author = "Igor Boglaev and Matthew Hardy",

year = "2007",

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AU - Hardy, Matthew

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AB - This paper deals with a weighted average scheme (or θ-scheme) for solving a nonlinear singularly perturbed parabolic reaction-diffusion problem. The uniform convergence of the weighted average scheme on piecewise uniform and log-meshes is established. Numerical experiments are presented.

KW - Boundary layers

KW - Parabolic reaction-diffusion problem

KW - Uniform convergence

KW - Weighted average scheme

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DO - 10.1016/j.cam.2006.01.026

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

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Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem

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