Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations

DOI10.1080/00207160.2013.841901zbMath1306.65238OpenAlexW2092837721MaRDI QIDQ2935369

Lijun Yi, Zhong-qing Wang

Publication date: 29 December 2014

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

Full work available at URL: https://doi.org/10.1080/00207160.2013.841901

zbMATH Keywords

algorithmordinary differential equationshigh-order accuracyspectral collocation methodnumerical resulttime-dependent nonlinear partial differential equationsdiscretization in time and space

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) 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)

Related Items (10)

Spectral collocation in space and time for linear PDEs ⋮ Space-time Legendre-Gauss-Lobatto collocation method for two-dimensional generalized sine-Gordon equation ⋮ A Legendre-Gauss-Radau spectral collocation method for first order nonlinear delay differential equations ⋮ Space-time spectral method for the Stokes problem ⋮ Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications To Wave Equations ⋮ Chebyshev spectral collocation in space and time for the heat equation ⋮ Legendre spectral collocation method for second-order nonlinear ordinary/partial differential equations ⋮ An efficient numerical approach for solving nonlinear coupled hyperbolic partial differential equations with nonlocal conditions ⋮ Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations ⋮ Legendre spectral collocation in space and time for PDEs

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