A method for the numerical integration of the one-dimensional heat equation using chebyshev series-Reference-Cited by-同舟云学术

A method for the numerical integration of the one-dimensional heat equation using chebyshev series

Published:1961-10 Issue:4 Volume:57 Page:823-832
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Elliott David

Abstract

ABSTRACTA numerical solution of

with general linear boundary conditions alongx= ±1, is described where at any timetthe Chebyshev expansion of θ(x,t) in –1 ≤x≤ 1 is computed directly. Compared with the more usual finite difference methods, this method requires much less computation and there are no stability problems. Two cases are considered in detail.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. The numerical solution of linear differential equations in Chebyshev series

2. A method for the numerical or mechanical solution of certain types of partial differential equations

3. A note on the summation of Chebyshev series

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