Efficient spectral Legendre dual-Petrov-Galerkin algorithms for the direct solution of \((2n+1)\)th-order linear differential equations

Publication date: 24 February 2010

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

zbMATH Keywords

algorithms numerical results linear differential equations boundary value problem Legendre polynomials spectral discretization nonhomogeneous Dirichlet conditions dual-Petrov-Galerkin method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Linear codes (general theory) (94B05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Series solutions to PDEs (35C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

New spectral-Galerkin algorithms for direct solution of high even-order differential equations using symmetric generalized Jacobi polynomials ⋮ On using third and fourth kinds Chebyshev polynomials for solving the integrated forms of high odd-order linear boundary value problems ⋮ Integrals of Chebyshev polynomials of third and fourth kinds: an application to solution of boundary value problems with polynomial coefficients ⋮ New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds

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