Mohamed Abdelwahed, Nejmeddine Chorfi, Vicentiu Radulescu
Abstract:
In this article we study a discretized version of the heat equation.
For the time semi-discrete problem, we use an implicit Euler's scheme,
and for the space discretization we used the spectral method.
We estimate for the error between the exact and approximated
discrete solutions, and illustrate the features of our method with
numerical examples.
Submitted December 10, 2015. Published March 11, 2016.
Math Subject Classifications: 35K05, 35K20, 58J35, 65M70.
Key Words: Heat equation; Euler's method; spectral discretization;
error estimate.
Show me the PDF file (796 KB), TEX file for this article.
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Mohamed Abdelwahed Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: mabdelwahed@ksu.edu.sa |
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Nejmeddine Chorfi Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: nchorfi@ksu.edu.sa |
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Vicentiu Radulescu Institute of Mathematics "Simion Stoilow" of the Romanian Academy P.O. Box 1-764, 014700 Bucharest, Romania email: vicentiu.radulescu@imar.ro |
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