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The Computer Journal 1971 14(4):428-432; doi:10.1093/comjnl/14.4.428
© 1971 by British Computer Society
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On the solution of parabolic partial differential equations in Chebyshev series

D. Knibb1 * and R. E. Scraton2

1 City of Leicester Polytechnic, Leicester, UK, 2 University of Bradford, Bradford, UK

A method is given for the numerical solution of a linear parabolic equation in the form of a Chebyshev series. The equation is first transformed into a set of ordinary differential equations for the Chebyshev coefficients, and the numerical solution of these equations is obtained in a step-by-step manner.

Received June 1970.

* Present address: City of Leicester Polytechnic, Leicester.

§ University of Bradford, Bradford 7


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