A New Decomposition Method for Integro-Differential Equations

Morufu Oyedunsi Olayiwola; Kabiru Kareem

doi:10.17776/csj.986019

EN

A New Decomposition Method for Integro-Differential Equations

Abstract

This present study developed a new Modified Adomian Decomposition Method (MADM) for integro-differential equations. The modification was carried out by decomposing the source term function into series. The terms in the series were then selected in pairs to form the initials for the prevailing approximation. The newly modified Adomian decomposition method (MADM) accelerates the convergence of the solution faster than the Standard Adomian Decomposition Method (SADM). This study recommends the use of the MADM for solving integro-differential equations.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Morufu Oyedunsi Olayiwola
0000-0001-6101-1203
Nigeria

Kabiru Kareem ^*
0000-0002-7457-5945
Nigeria

Publication Date

June 29, 2022

Submission Date

August 22, 2021

Acceptance Date

April 17, 2022

Published in Issue

Year 2022 Volume: 43 Number: 2

DOI

https://doi.org/10.17776/csj.986019

IZ

https://izlik.org/JA65FM53DR

Cite

RIS / Bibtex

APA

Olayiwola, M. O., & Kareem, K. (2022). A New Decomposition Method for Integro-Differential Equations. Cumhuriyet Science Journal, 43(2), 283-288. https://doi.org/10.17776/csj.986019

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COLLOCATION METHOD APPLIED TO NUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATIONS

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https://doi.org/10.17780/ksujes.1346489

Solving linear systems of fractional integro-differential equations by Haar and Legendre wavelets techniques

Partial Differential Equations in Applied Mathematics

https://doi.org/10.1016/j.padiff.2024.100683

A New Decomposition Method for Integro-Differential Equations

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

COLLOCATION METHOD APPLIED TO NUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATIONS

Solving linear systems of fractional integro-differential equations by Haar and Legendre wavelets techniques