A note on Chebyshev series solution of the Crank-Gupta equation (Q2782162)
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scientific article; zbMATH DE number 1727706
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Chebyshev series solution of the Crank-Gupta equation |
scientific article; zbMATH DE number 1727706 |
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25 April 2002
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oxygen diffusion in an absorbing medium
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moving boundary problem
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numerical comparison
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A note on Chebyshev series solution of the Crank-Gupta equation (English)
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The one-dimensional problem of the oxygen diffusion in an absorbing medium is one of the simplest examples of parabolic partial differential equation involving moving boundary. It can often be used as a test problem in development of several new methods for such situations. An acurate solution of this problem based on Chebyshev series is proposed in this paper. Numerical comparison of the present method and those of \textit{J. Crank} and \textit{R. S. Gupta} [J. Inst. Math. Appl. 10, 19-33 (1972; Zbl 0247.65064)] and \textit{E. Hansen} an \textit{P. Hougaard} [J. Inst. Math. Appl. 13, 385-398 (1974; Zbl 0307.45016)] are also included.
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