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On the Application of Adomian Decomposition Method to Special Equations in Physical Sciences
Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
- 1 Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
- 2 Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
- 3 Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
- 4 Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
American Journal of Computational Mathematics·Volume 13 (2023)·Pages 387–397·Published 21 August 2023·DOI10.4236/ajcm.2023.133022
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Abstract
The current manuscript makes use of the prominent iterative procedure , called the Adomian Decomposition Method (ADM), to tackle some important spe cial differential equations. The equations of curiosity in this study are the sin gular equations that arise in many physical science applications. Thus, through the application of the ADM, a generalized recursive scheme was successfully derived and further utilized to obtain closed-form solutions for the models under consideration. The method is, indeed, fascinating as respective exact analytical solutions are accurately acquired with only a small number of iterations.
KeywordsIterative SchemeAdomian Decomposition MethodInitial-Value ProblemsSingular Ordinary Differential Equations
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