A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems

DOI10.1186/s13662-016-0753-2zbMath1422.65425OpenAlexW2287828273WikidataQ59480496 ScholiaQ59480496MaRDI QIDQ1796285

Waleed M. Abd-Elhameed, Youssri H. Youssri, Hany M. Ahmed

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0753-2

zbMATH Keywords

generalized Jacobi polynomialsLegendre polynomialsoperational matrixfourth-order boundary value problemsGalerkin and collocation methods

Mathematics Subject Classification ID

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

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