A multidomain Legendre-Petrov-Galerkin spectral method for third-order differential equations

zbMATH Open1265.65214MaRDI QIDQ2916249

Zhenhua Wang, Heping Ma

Publication date: 5 October 2012

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

zbMATH Keywords

stabilityconvergencenumerical resultsinitial-boundary value problemthird-order differential equationnonlinear problemsLegendre collocation methodmultidomain Legendre-Petrov-Galerkin spectral method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

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