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

Published online by Cambridge University Press:  24 October 2008

David Elliott
David Elliott
Affiliation:
University of Adelaide, Australia
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Abstract

A numerical solution of

with general linear boundary conditions along x = ±1, is described where at any time t the 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 4 , October 1961 , pp. 823 - 832
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

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