The general solution for singular equations of (n+1) order using Adomian decomposition method
Abstract
This article proposes a general and efficient modification of Adomain decomposition method (ADM) to obtain the general solutions for (n+1)- order nonlinear singular differential equations with different boundary conditions. This technique is proposed to overcome the singular behaviour of this type of problems. We study several nonlinear problems which will illustrate the efficiency of using that developed technique of the given method to clearly confirm the effectiveness and accuracy of ADM. In addition, we compare the numerical results with the exact solution to explain the rapid convergence of the approximation series as the solution.
Copyright © 2020 Somaia Ali Alaqel, Yahya Qaid Hasan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. A. Alaqel, Y. Q. Hasan, The general solution for singular equations of (n+1) order using Adomian decomposition method, J. Math. Comput. Sci. 10 (2020), 2261–2281. https://doi.org/10.28919/jmcs/4832
BibTeX
@article{Alaqel2020,
author = {Alaqel, Somaia Ali and Hasan, Yahya Qaid},
title = {The general solution for singular equations of (n+1) order using Adomian decomposition method},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {2261--2281},
doi = {10.28919/jmcs/4832}
}