Numerical solution of the Fredholm singular integro-differential equation with Cauchy kernel by using Taylor-series expansion and Galerkin method

DOI10.1016/j.amc.2006.04.053zbMath1107.65118OpenAlexW2055771435WikidataQ115361892 ScholiaQ115361892MaRDI QIDQ861194

Khosrow Maleknejad, Asghar Arzhang

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.053

zbMATH Keywords

numerical examplesLegendre polynomialstruncated Taylor-series polynomial

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items (8)

Constructing solutions of Cauchy type integral equations by using four kinds of basis ⋮ A note on solving integro-differential equation with Cauchy kernel ⋮ Unnamed Item ⋮ Note on numerical solution of the Fredholm singular integro-differential equation with Cauchy kernel by using Taylor-series expansion and Galerkin method ⋮ Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: a survey ⋮ A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals ⋮ Application of Euler matrix method for solving linear and a class of nonlinear Fredholm integro-differential equations ⋮ Solving integro-differential equations with Cauchy kernel

Cites Work

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• Solving linear integro-differential equations system by using rationalized Haar functions method
• Computational Methods for Integral Equations
• A Taylor expansion approach for solving integral equations
• Product integration for Volterra integral equations of the second kind with weakly singular kernels
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• On the Nature of Certain Quadrature Formulas and Their Errors
• Integro-differential equation with Cauchy kernel

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