Double ultraspherical solution of eigenvalue problems for partial differential equations

DOI10.1080/00207160108805111zbMath1007.65089OpenAlexW2021729078MaRDI QIDQ4780553

H. M. El-Hawary

Publication date: 20 March 2003

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805111

zbMATH Keywords

comparison of methodsmultigrid methodeigenvalue problemsultraspherical polynomialsspectral methodstau-lines methodEl-Gendi-lines methodMR 92m:65137

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• Partial differential equations having orthogonal polynomial solutions
• An accurate solution of the Poisson equation by the Chebyshev-tau method
• The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function
• Multigrid Methods for Differential Eigenproblems
• A new time treatment for solving partial integro-differential equations of radiative transport
• Legendre spectral method for solving integral and integro-differential equations
• Double chebyshev solution of eigenvalue problems for partial differential equations
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations

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