Pseudospectral integration matrix and boundary value problems

DOI10.1080/00207160701337829zbMath1147.65059OpenAlexW2056882255MaRDI QIDQ5431627

Elsayed M. E. Elbarbary

Publication date: 12 December 2007

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

Full work available at URL: https://doi.org/10.1080/00207160701337829

zbMATH Keywords

numerical integrationboundary value problemsOrr-Sommerfeld equationChebyshev approximationEl-Gendi method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (10)

Efficient and stable generation of higher-order pseudospectral integration matrices ⋮ On the optimization of Gegenbauer operational matrix of integration ⋮ A pseudospectral scheme and its convergence analysis for high-order integro-differential equations ⋮ Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations ⋮ Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method ⋮ Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation ⋮ Well conditioned pseudospectral schemes with tunable basis for fractional delay differential equations ⋮ Fractional pseudospectral integration/differentiation matrix and fractional differential equations ⋮ Generation of higher order pseudospectral integration matrices ⋮ Fractional Pseudospectral Schemes with Equivalence for Fractional Differential Equations

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