A numerical method for a stefan-type problem

    G. Shishkin Info
    L. Shishkina Info
    K. Cronin Info

Abstract

A Stefan-type problem is considered. This is an initial-boundary value problem on a composite domain for a parabolic reaction-diffusion equation with a moving interface boundary. At the moving boundary between the two subdomains, an interface condition is prescribed for the solution of the problem and its derivatives. A finite difference scheme is constructed that approximates the initial-boundary value problem. An iterative Newton-type method for the solution of the difference scheme and a numerical method for the analysis of the errors of the computed discrete solutions are both developed.

Keywords:

Stefan-type problem, initial-boundary value problem, composite domain, parabolic reaction-diffusion equation, moving interface boundary, finite difference scheme, iterative Newton-type method

How to Cite

Shishkin, G., Shishkina, L., & Cronin, K. (2011). A numerical method for a stefan-type problem. Mathematical Modelling and Analysis, 16(1), 119-142. https://doi.org/10.3846/13926292.2011.562930

Share

Published in Issue
April 8, 2011
Abstract Views
573

View article in other formats

CrossMark check

CrossMark logo

Published

2011-04-08

Issue

Section

Articles

How to Cite

Shishkin, G., Shishkina, L., & Cronin, K. (2011). A numerical method for a stefan-type problem. Mathematical Modelling and Analysis, 16(1), 119-142. https://doi.org/10.3846/13926292.2011.562930

Share