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An accurate double Chebyshev spectral approximation for parabolic partial differential equations

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Publication:1374091
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zbMath0899.65060MaRDI QIDQ1374091

Eid H. Doha, Helal, Mohamed Atef

Publication date: 27 October 1998

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

numerical examplesspectral methodsparabolic partial differential equationdouble Chebyshev series methodKronecker matrix algebra


Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)


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On the coefficients of integrated expansions and integrals of ultraspherical polynomials and their applications for solving differential equations, Recurrences and explicit formulae for the expansion and connection coefficients in series of ordinary Bessel polynomials, Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method, A Chebyshev spectral method for solving Korteweg-de Vries equation with hydrodynamical application



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