Efficient and stable generation of higher-order pseudospectral integration matrices

DOI10.1016/j.amc.2015.03.090zbMath1410.65506OpenAlexW1985675733MaRDI QIDQ1643272

Xiao-jun Tang

Publication date: 19 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.090

zbMATH Keywords

integro-differential equationsChebyshev polynomialsintegral equationspseudospectral methodspseudospectral integration matrices

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Theoretical approximation of solutions to integral equations (45L05)

Related Items (6)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ Integral fractional pseudospectral methods for solving fractional optimal control problems ⋮ Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations ⋮ High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures ⋮ A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains ⋮ Fractional Pseudospectral Schemes with Equivalence for Fractional Differential Equations

Cites Work

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• Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices
• Generation of higher order pseudospectral integration matrices
• Lagrange interpolation to compute the numerical solutions of differential, integral and integro-differential equations
• Numerical expansion methods for solving integral equations by interpolation and Gauss quadrature rules
• Spectral Methods
• Generation of Pseudospectral Differentiation Matrices I
• Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited
• Pseudospectral integration matrix and boundary value problems
• Spectral Methods
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations

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