The Chebyshev tau technique for the solution of Laplace's equation

DOI10.1016/j.amc.2006.05.212zbMath1114.65146OpenAlexW1995702089MaRDI QIDQ879568

N. E. Zubov

Publication date: 14 May 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.212

zbMATH Keywords

numerical resultsChebyshev polynomialsspectral methodChebyshev tau methodoperational matrix

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Application of Chebyshev tau method for bending analysis of elastically restrained edge functionally graded nano/micro-scaled sandwich beams, under non-uniform normal and shear loads ⋮ Bernstein series solution of linear second-order partial differential equations with mixed conditions

Cites Work

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• The Legendre-tau technique for the determination of a source parameter in a semilinear parabolic equation
• Some aspects of the method of fundamental solutions for certain harmonic problems
• Numerical comparison of methods for solving parabolic equations
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• The Numerical Solution of the Dirichlet Problem for Laplace’s Equation by Linear Programming
• Numerical Solution of Laplace Equation in a Disk using the Adomian Decomposition Method

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