Legendre spectral method for solving integral and integro-differential equations

DOI10.1080/00207160008804976zbMath0971.65120OpenAlexW1970182106MaRDI QIDQ4511616

M. S. Salim, H. M. El-Hawary, Hussien Shafei Hussien

Publication date: 6 November 2001

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

Full work available at URL: https://doi.org/10.1080/00207160008804976

zbMATH Keywords

integro-differential equationsnumerical examplesintegral equationsLegendre spectral method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (1)

Double ultraspherical solution of eigenvalue problems for partial differential equations

Cites Work

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• A method for numerical integration on an automatic computer
• An integral Chebyshev expansion method for boundary-value problems of O.D.E. type
• Algorithms for the solution of second order Volterra integro-differential equations
• Solution ofH-Equations by Iteration
• A Pointwise Quasi-Newton Method for Integral Equations
• A Spectral Element Technique with a Local Spectral Basis
• Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
• Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
• A Fast Multilevel Algorithm for Integral Equations

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