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2024 | OriginalPaper | Chapter

Modified Adomian Decomposition Method for Solving Volterra Integro-Differential Equations

Authors : Nidal Anakira, Gada Bani-Hani, Osama Ababneh, Ali Jameel, Khamis Al-Kalbani

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

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Abstract

This research article effectively demonstrates the implementation of the modified Adomian decomposition method (MADM). Using a numerical procedure called MADM, some classes of Volterra integro differential equations can be solved can be solved with easily computational and high degree of acuracy. The procedure relies on ADM approximate series solutions, Laplace transform, and Pade approximants. The efficacy and dependability of MADM is tested through a numerical example. The results acquired reveal that the provided approach is highly effective and robust in addressing this differential equation.

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previous chapter A Certain Subclass of Analytic Functions Related to Calculus and Their Second Hankel Determinant
next chapter Exploration of New Classes of Bi-univalent Functions Defined by the Subordination Principle Using -Gegenbauer Polynomials
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Metadata
Title
Modified Adomian Decomposition Method for Solving Volterra Integro-Differential Equations
Authors
Nidal Anakira
Gada Bani-Hani
Osama Ababneh
Ali Jameel
Khamis Al-Kalbani
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Mathematical Analysis and Numerical Methods

Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-97-4876-1_23

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