On Taylor-series expansion methods for the second kind integral equations

DOI10.1016/j.cam.2010.02.023zbMath1190.65195OpenAlexW2000316162MaRDI QIDQ972756

Pallop Huabsomboon, Boriboon Novaprateep, Hideaki Kaneko

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.02.023

zbMATH Keywords

Fredholm integral equationnumerical examplesTaylor methodsystem of integral equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Systems of nonsingular linear integral equations (45F05)

Related Items (10)

Approximate solution of three-point boundary value problems for second-order ordinary differential equations with variable coefficients ⋮ Unnamed Item ⋮ Existence and approximation of solution for a nonlinear second-order three-point boundary value problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new approach for solving a class of nonlinear integro-differential equations ⋮ Unnamed Item ⋮ Spectrally accurate Nyström-solver error bounds for 1-D Fredholm integral equations of the second kind ⋮ Improving the accuracy of solutions of the linear second kind Volterra integral equations system by using the Taylor expansion method ⋮ Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM

Cites Work

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• A simple Taylor-series expansion method for a class of second kind integral equations
• Numerical solution of second kind Fredholm integral equations system by using a Taylor-series expansion method
• An Application of Approximation Theory to Numerical Solutions for
• Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
• The Numerical Solution of Integral Equations of the Second Kind
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations

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