An Approximate Solution of Higher Order Ordinary Differential Equations Using Modified Adomian Decomposition Method

  • Nuha Mohammed Dabwan
  • Yahya Qaid Hasan Department of Mathematics, Sheba Region University, Yemen
DOI: https://doi.org/10.53555/m.v6i7.3765
Keywords: :Ordinary Differential Equation, Higher Order, Adomian Method, Initial Conditions

Abstract

Modified Adomian Decomposition Method (MADM) is used in this
article to solve higher order ordinary differential equations. Some
examples are proposed to show the ability of the methed for solving
this type of equations.

Downloads

Download data is not yet available.

References

[1] A. M. Wazaz, A First Course in Integral Equation, World Scientic, Singapore, 1997.
[2] A.M. Wazwaz, A new algorithm for calculating Adomian polynomials
for nonlinear operators, Appl. Math. Comput. 111 (1) (2000) 53-69.
[3] G. Adomian, A review of the decomposition method and some recent
results for nonlinear equation, Math. Comput. Modelling 13(7)(1992)
17-43.
[4] G. Adomian, Solving forontier problems of physics: The Decomposition
Method, Kluwer, Boston, MA, 1994.
[5] G. Adomian, and R.Rach, Inversion of nonlinear stochastic operators,”
J.Math. Anal. Appl.91(1983) 39-46.
[6] Y. Q. Hasan, Solving first order ordinary differential equation by modified Adomian decomposition method, (AITS), 1 (4) (2012), 86-89.
[7] E. Babolian, A. R. Vahidi, G. H. Asadi Cordshooli, Solving differential
equations by decomposition method, Appl. Math. Comput. 167 (2)
(2005) 1150-1155.
[8] H. Bayramoglu, N. Bildik, The solution of two dimensional nonlinear differential equation by the Adomian decomposition method, Appl. Math.
Comput. 163 (2) (2005) 519-524.
[9] N.M. Dabwan and Y. Q. Hasan, Solving Second Order Ordinary Differential Equation Using a New Modified Adomian Method, AMSJ
9(3)(2020) 937-943.
Published
2020-07-14
How to Cite
Nuha Mohammed Dabwan, & Yahya Qaid Hasan. (2020). An Approximate Solution of Higher Order Ordinary Differential Equations Using Modified Adomian Decomposition Method. IJRDO -JOURNAL OF MATHEMATICS, 6(7), 01-08. https://doi.org/10.53555/m.v6i7.3765
Issue
Vol. 6 No. 7 (2020): IJRDO - Journal of Mathematics (ISSN: 2455-9210)
Section
Articles

Copyright (c) 2020 IJRDO - Journal of Mathematics (ISSN: 2455-9210)

Creative Commons License

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

Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere. Author(s) agree to the terms that the IJRDO Journal will have the full right to remove the published article on any misconduct found in the published article.