Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations

Y. Sayed, Ahmed; A. Sayed, Emad; H. Rashwan, Mahmoud; L. El-Kalla, I.

doi:10.21608/erj.2022.260124

Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations

Document Type : Original Article

Authors

Ahmed Y. Sayed ¹
Emad A. Sayed ¹
Mahmoud H. Rashwan ¹
I. L. El-Kalla ²

¹ Physics and Engineering Mathematics Department, Faculty of Engineering, Mattaria, Helwan University, Egypt

² Physics and Engineering Mathematics Department, Faculty of Engineering , Mansoura University , Egypt.

10.21608/erj.2022.260124

Abstract

In this work we use an efficient technique based on Adomian Decomposition Method (ADM) and Laplace Transform to solve non-linear integro-differential equations. This method effectively handles non-linear integro differential equations of the first and the second kind. Finally, some examples will be discussed to support the proposed method.

Keywords

Laplace Adomian Decomposition Method
Accelerated Adomian polynomials
Traditional Adomian Polynomials
integro-differential equations

Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations

Volume 175, Issue 0September 2022Pages 371-385

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Volume 175, Issue 0
September 2022
Pages 371-385