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Chebyshev expansion method for solving second and fourth-order elliptic equations

✍ Scribed by Ahmed K. Khalifa; Elsayed M.E. Elbarbary; Mohamed A. Abd Elrazek

Book ID: 108395599
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 108 KB
Volume: 135
Category: Article
ISSN: 0096-3003
DOI: 10.1016/s0096-3003(01)00333-2

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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