Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations
Y. Sayed, A., A. Sayed, E., H. Rashwan, M., L. El-Kalla, I. (2022). Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations. EKB Journal Management System, 175(0), 371-385. doi: 10.21608/erj.2022.260124
Ahmed Y. Sayed; Emad A. Sayed; Mahmoud H. Rashwan; I. L. El-Kalla. "Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations". EKB Journal Management System, 175, 0, 2022, 371-385. doi: 10.21608/erj.2022.260124
Y. Sayed, A., A. Sayed, E., H. Rashwan, M., L. El-Kalla, I. (2022). 'Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations', EKB Journal Management System, 175(0), pp. 371-385. doi: 10.21608/erj.2022.260124
Y. Sayed, A., A. Sayed, E., H. Rashwan, M., L. El-Kalla, I. Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations. EKB Journal Management System, 2022; 175(0): 371-385. 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

Engineering Research Journal
Article 22, Volume 175, Issue 0, September 2022, Pages 371-385    PDF (443.75 K)
Document Type: Original Article
DOI: 10.21608/erj.2022.260124
Authors
Ahmed Y. Sayed1; Emad A. Sayed1; Mahmoud H. Rashwan* 1; I. L. El-Kalla2
1Physics and Engineering Mathematics Department, Faculty of Engineering, Mattaria, Helwan University, Egypt
2Physics and Engineering Mathematics Department, Faculty of Engineering , Mansoura University , Egypt.
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
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