Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods

M. A. Alzhrani; H. O. Bakodah; M. Al-Mazmumy

doi:10.2478/jamsi-2020-0007

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Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods

Journal of Applied Mathematics, Statistics and Informatics

Volume 16 (2020): Issue 2 (December 2020)

By: M. A. Alzhrani, H. O. Bakodah and M. Al-Mazmumy

Open Access

|Dec 2020

Abstract

A solution method for various systems of integral equations of the first kind is presented in this paper. The method starts off by transforming the systems via the application of the Leibnitz’s derivation technique and then employs three different decomposition methods based on the Standard Adomian decomposition method (SADM) for solutions. To demonstrate the efficiency of the proposed method, some illustrative examples are considered and the obtained results indicate that the approach is indeed of practical interest.

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2020-0007 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 23 - 38

Published on: Dec 24, 2020

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Integral equations,

Volterra integral equations,

Leibnitz’s derivation technique,

Adomian decomposition method

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2020 M. A. Alzhrani, H. O. Bakodah, M. Al-Mazmumy, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 16 (2020): Issue 2 (December 2020)