Generation of higher order pseudospectral integration matrices

DOI10.1016/j.amc.2008.08.056zbMath1170.65105OpenAlexW2044942090MaRDI QIDQ1008574

Kareem T. Elgindy

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.08.056

zbMATH Keywords

Chebyshev polynomialsboundary value problemsinitial value problemslinear integral equationpseudospectral methodslinear integro-differential equationsChebyshev pointsintegration matrix

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Linear integral equations (45A05)

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Uses Software

• Matlab

Cites Work

• A method for numerical integration on an automatic computer
• A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
• Chebyshev pseudospectral method for computing numerical solution of convection-diffusion equation
• Spectral methods for incompressible viscous flow
• Lagrange interpolation to compute the numerical solutions of differential, integral and integro-differential equations
• Chebyshev expansion method for solving second and fourth-order elliptic equations.
• The errors in calculating the pseudospectral differentiation matrices for Čebyšev-Gauss-Lobatto points
• A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type
• Numerical expansion methods for solving integral equations by interpolation and Gauss quadrature rules
• Spectral Methods for Time-Dependent Problems
• Computational Methods for Integral Equations
• Spectral Methods in MATLAB
• A Practical Guide to Pseudospectral Methods
• Pseudospectral integration matrix and boundary value problems
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations
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