research-article

Numerical solution of high-order VolterraFredholm integro-differential equations by using Legendre collocation method

Authors:

N. Rohaninasab,

R. EzzatiAuthors Info & Claims

Applied Mathematics and Computation, Volume 328, Issue C

Pages 171 - 188

https://doi.org/10.1016/j.amc.2018.01.032

Published: 01 July 2018 Publication History

Abstract

The main purpose of this paper is to use the Legendre collocation spectral method for solving the high-order linear VolterraFredholm integro-differential equations under the mixed conditions. Avoiding integration of both sides of the equation, we expressed mixed conditions as equivalent integral equations, by adding the neutral term to the equation. Error analysis for approximate solution and approximate derivatives up to order k of the solution is obtained in both L2 norm and L norm. To illustrate the accuracy of the spectral method, some numerical examples are presented.

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Cited By

Amirali IAcar H(2024)Stability inequalities and numerical solution for neutral Volterra delay integro-differential equationJournal of Computational and Applied Mathematics10.1016/j.cam.2023.115343436:COnline publication date: 15-Jan-2024
https://dl.acm.org/doi/10.1016/j.cam.2023.115343
Dehestani HOrdokhani YRazzaghi M(2021)Pseudo-operational matrix method for the solution of variable-order fractional partial integro-differential equationsEngineering with Computers10.1007/s00366-019-00912-z37:3(1791-1806)Online publication date: 1-Jul-2021
https://dl.acm.org/doi/10.1007/s00366-019-00912-z

Numerical solution of high-order VolterraFredholm integro-differential equations by using Legendre collocation method
1. Mathematics of computing
  1. Mathematical analysis
    1. Functional analysis
2. Theory of computation

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Published In

cover image Applied Mathematics and Computation

Applied Mathematics and Computation Volume 328, Issue C

July 2018

289 pages

ISSN:0096-3003

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Copyright © Elsevier Inc.

Publisher

Elsevier Science Inc.

United States

Publication History

Published: 01 July 2018

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Cited By

Amirali IAcar H(2024)Stability inequalities and numerical solution for neutral Volterra delay integro-differential equationJournal of Computational and Applied Mathematics10.1016/j.cam.2023.115343436:COnline publication date: 15-Jan-2024
https://dl.acm.org/doi/10.1016/j.cam.2023.115343
Dehestani HOrdokhani YRazzaghi M(2021)Pseudo-operational matrix method for the solution of variable-order fractional partial integro-differential equationsEngineering with Computers10.1007/s00366-019-00912-z37:3(1791-1806)Online publication date: 1-Jul-2021
https://dl.acm.org/doi/10.1007/s00366-019-00912-z

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