A Legendre Petrov-Galerkin method for fourth-order differential equations

DOI10.1016/j.camwa.2010.10.025zbMath1207.65142OpenAlexW1991061778MaRDI QIDQ630720

Kang-Zheng Xing, He-Ping Ma, Ting-Ting Shen

Publication date: 19 March 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.10.025

zbMATH Keywords

Kuramoto-Sivashinsky equationoptimal error estimatesfourth-order differential equationsLegendre Petrov-Galerkin method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

A Petrov-Galerkin spectral method for fourth-order problems ⋮ Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs ⋮ A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations ⋮ Modal spectral element method in curvilinear domains ⋮ A new Galerkin spectral element method for fourth-order boundary value problems ⋮ A spectral element method using the modal basis and its application in solving second‐order nonlinear partial differential equations ⋮ An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics

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