Numerical solution of Fredholm-Volterra integral equation in one dimension with time dependence

DOI10.1016/J.AMC.2004.07.024zbMath1082.65593OpenAlexW2071581613MaRDI QIDQ2570782

Abdalah A. Badr

Publication date: 28 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.07.024

zbMATH Keywords

Toeplitz matrixFredholm-Volterra integral equationsingular kernelQuadrature rule

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (6)

On series solutions of Volterra equations ⋮ Block-by-block method for solving nonlinear Volterra-Fredholm integral equation ⋮ A Novel Strategy for Eliminating the Boundary Layer Effect in the Regularized Integral Identity in PIES for 2D Potential Problem ⋮ Reproducing kernel method for solving Fredholm integro-differential equations with weakly singularity ⋮ Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions ⋮ Exponential convergence for numerical solution of integral equations using radial basis functions

Cites Work

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• Continuous time collocation methods for Volterra-Fredholm integral equations
• The use of piecewise quadratic polynomials for the solution of singular integral equations of Cauchy type
• The Galerkin method for singular integral equations revisited
• Fredholm integral equation of the second kind with potential kernel
• Computational Methods for Integral Equations
• A numerical technique for the solution of singular integral equations of the second kind
• On the solution of integral equations with strongly singular kernels
• Product integration for Volterra integral equations of the second kind with weakly singular kernels

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