A novel representation of the exact solution for differential algebraic equations system using residual power-series method
type: Item
instance of: scholarly article
title: A novel representation of the exact solution for differential algebraic equations system using residual power-series method
zbMATH Open document ID: 1418.34022
DOI: 10.1155/2015/205207
author: K. Moaddy
author: Mohammed H. Al-Smadi
author: I. Hashim
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We implement a relatively new analytic iterative technique to get approximate solutions of differential algebraic equations system based on generalized Taylor series formula. The solution methodology is based on generating the residual power series expansion solution in the form of a rapidly convergent series with easily computable components. The residual power series method (RPSM) can be used as an alternative scheme to obtain analytical approximate solution of different types of differential algebraic equations system applied in mathematics. Simulations and test problems were analyzed to demonstrate the procedure and confirm the performance of the proposed method, as well as to show its potentiality, generality, viability, and simplicity. The results reveal that the proposed method is very effective, straightforward, and convenient for solving different forms of such systems.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 7025255
Wikidata QID: Q59105670
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/205207
OpenAlex ID: W1990950138
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description: scientific article; zbMATH DE number 7025255