Chebyshev series solution of the two dimensional heat equation

C.P. Murphy and D.J. Evans

Mathematics and Computers in Simulation (MATCOM), 1981, vol. 23, issue 2, 157-162

Abstract: In this paper, a computational scheme is presented for the solution of the second order parabolic partial differential equation by Chebyshev polynomials. An automated strategy of inputting the relevant coefficients of the equation and scanning a recurrence tableau gives the Chebyshev coefficients from which the solution to the equation can be obtained. Examples are given to portray the flexibility of the method.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:23:y:1981:i:2:p:157-162

DOI: 10.1016/0378-4754(81)90053-7

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