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A method for the integration in time of certain partial differential equations

✍ Scribed by J.M Sanz-Serna; V.S Manoranjan


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
911 KB
Volume
52
Category
Article
ISSN
0021-9991

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A Chebyshev expansion method for solving
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## Abstract A Chebyshev expansion method for the parabolic and Burgers equations is developed. The spatial derivatives are approximated by the Chebyshev polynomials and the time derivative is treated by a finite‐difference scheme. The accuracy of the resultant is modified by using suitable extrapol