Iterative numerical solution of non-linear integro-differential equations by the tau method

DOI10.1016/J.AMC.2007.04.002zbMath1193.65228OpenAlexW1996329853MaRDI QIDQ990631

M. Y. Rahimi Ardabili, Sedaghat Shahmorad

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.002

zbMATH Keywords

tau methodFredholm and Volterra integral and integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (5)

An Operational Matrix Method for Solving Delay Fredholm and Volterra Integro–Differential Equations ⋮ Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method ⋮ Reliable algorithms for solving integro-differential equations with applications ⋮ Operation matrix method based on Bernstein polynomials for the Riccati differential equation and Volterra population model ⋮ A Tau-like numerical method for solving fractional delay integro-differential equations

Cites Work

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• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• Numerical solution of a class of integro-differential equations by the tau method with an error estimation

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