The New Technique of Adomian Method for Singular BVPs in Some Third and n\(^{th}\) Order Ordinary Differential Equations

The New Technique of Adomian Method for Singular BVPs in Some Third and n\(^{th}\) Order Ordinary Differential Equations

Authors

  • Esmael Ahmed AL-Junid Department of Mathematics, Sheba Region University, Yemen
  • Yahya Qaid Hasan Department of Mathematics, Sheba Region University, Yemen

Keywords:

Adomian decomposition method, singular boundary value problems, third and n\(^{th}\) order differential equations

Abstract

In this paper, we  present a fast and accurate numerical technique to solve  some third and nth order Ordinary Differential Equations(ODEs). The Adomian Decomposition Method (ADM) with a new  differential operator are applied for solving Singular Boundary Value Problems (SBVPs). The effectiveness of the novel approach is verified by several linear and non-linear examples.

Downloads

Published

23-07-2024

How to Cite

AL-Junid, E. A., & Yahya Qaid Hasan. (2024). The New Technique of Adomian Method for Singular BVPs in Some Third and n\(^{th}\) Order Ordinary Differential Equations. Journal of the Faculties of Education - University of Aden, 18(1), 22–36. Retrieved from https://jef.adenuniv.net/index.php/jef/article/view/46

Issue

Vol. 18 No. 1 (2024)

Section

Articles

License

Copyright (c) 2024 Journal of the Faculties of Education - University of Aden

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.