Translator Disclaimer
2018 Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations
Ahmed Farooq Qasim, Ekhlass S. AL-Rawi
J. Appl. Math. 2018: 1-9 (2018). DOI: 10.1155/2018/1803107

Abstract

In this paper, we used Bernstein polynomials to modify the Adomian decomposition method which can be used to solve linear and nonlinear equations. This scheme is tested for four examples from ordinary and partial differential equations; furthermore, the obtained results demonstrate reliability and activity of the proposed technique. This strategy gives a precise and productive system in comparison with other traditional techniques and the arrangements methodology is extremely straightforward and few emphasis prompts high exact solution. The numerical outcomes showed that the acquired estimated solutions were in appropriate concurrence with the correct solution.

Citation

Download Citation

Ahmed Farooq Qasim. Ekhlass S. AL-Rawi. "Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations." J. Appl. Math. 2018 1 - 9, 2018. https://doi.org/10.1155/2018/1803107

Information

Received: 7 July 2018; Accepted: 24 September 2018; Published: 2018
First available in Project Euclid: 16 November 2018

zbMATH: 07051355
MathSciNet: MR3867004
Digital Object Identifier: 10.1155/2018/1803107

Rights: Copyright © 2018 Hindawi

JOURNAL ARTICLE
9 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.2018 • 2018
Back to Top