Efficient Numerical Technique for Reaction-Diffusion Singularly Perturbed Boundary-Value Problems

Authors

  • Nawal Alzaid University of Jeddah
  • Kholoud Alzahrani University of Jeddah
  • Huda Bakodah University of Jeddah

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5547

Keywords:

ODEs, BVPs, reaction-diffusion singularly perturbed problem, restarted Adomian decomposition method, shooting method.

Abstract

The current manuscript aims to present an efficient numerical technique for solving third-order reaction-diffusion singularly perturbed boundary-value problems. The method is based on coupling the restarted Adomian decomposition method and the shooting method. The study further provided a complete outline of the coupled numerical method and used it in tackling
the governing class of third-order differential equations. The efficacy of the proposed method is demonstrated on test problems. Lastly, a high level of exactitude between the obtained approximate solution and the exact solution is achieved through comparison tables and figures.

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Published

2024-10-31

Issue

Vol. 17 No. 4: (October 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 Nawal Alzaid, Kholoud Alzahrani, Huda Bakodah

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How to Cite

Efficient Numerical Technique for Reaction-Diffusion Singularly Perturbed Boundary-Value Problems. (2024). European Journal of Pure and Applied Mathematics, 17(4), 4211-4224. https://doi.org/10.29020/nybg.ejpam.v17i4.5547