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International Journal of Computer Mathematics Volume 78, 2001 - Issue 3
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Original Articles

An Efficient Double Legendre Spectral Method for Parabolic and Elliptic Partial Differential Equations

E. H. Doha Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
&
F. M. R. Al-Kholi Department of Mathematics, Girl' College of Education, Jeddah, Saudi Arabia
Pages 413-432 | Published online: 19 Mar 2007

Citations (10)

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Read on this site (2)

E. H. Doha, H. M. Ahmed & S. I. El-Soubhy. (2009) Explicit formulae for the coefficients of integrated expansions of Laguerre and Hermite polynomials and their integrals. Integral Transforms and Special Functions 20:7, pages 491-503.
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E. H. Doha. (2003) Explicit Formulae for the Coefficients of Integrated Expansions of Jacobi Polynomials and Their Integrals. Integral Transforms and Special Functions 14:1, pages 69-86.
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Articles from other publishers (8)

Kubra Erdem Bicer & Salih Yalcinbas. Numerical solutions for Helmholtz equations using Bernoulli polynomials. Numerical solutions for Helmholtz equations using Bernoulli polynomials.
E.H. Doha, W.M. Abd-Elhameed & A.H. Bhrawy. (2009) Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations. Applied Mathematical Modelling 33:4, pages 1982-1996.
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H.M. Ahmed & S.I. El-Soubhy. (2008) Recurrences and explicit formulae for the expansion and connection coefficients in series of ordinary Bessel polynomials. Applied Mathematics and Computation 199:2, pages 482-493.
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E.H. Doha & W.M. Abd-Elhameed. (2005) Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method. Journal of Computational and Applied Mathematics 181:1, pages 24-45.
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E H Doha & H M Ahmed. (2004) Recurrences and explicit formulae for the expansion and connection coefficients in series of Bessel polynomials. Journal of Physics A: Mathematical and General 37:33, pages 8045-8063.
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E H Doha. (2004) On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials. Journal of Physics A: Mathematical and General 37:3, pages 657-675.
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E H Doha. (2002) On the coefficients of differentiated expansions and derivatives of Jacobi polynomials. Journal of Physics A: Mathematical and General 35:15, pages 3467-3478.
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E.H. Doha. (2002) On the coefficients of integrated expansions and integrals of ultraspherical polynomials and their applications for solving differential equations. Journal of Computational and Applied Mathematics 139:2, pages 275-298.
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