A novel representation of the exact solution for differential algebraic equations system using residual power-series method

Khaled Moaddy, Mohammed Al-Smadi, Ishak Hashim

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number205207
JournalDiscrete Dynamics in Nature and Society
Volume2015
DOIs
Publication statusPublished - 22 Feb 2015

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Algebraic Differential Equations
Power series
Differential equations
Exact Solution
Taylor series
Approximate Solution
Power Series Expansion
Viability
Test Problems
Simplicity
Series
Methodology
Alternatives
Demonstrate
Simulation
Form

ASJC Scopus subject areas

  • Modelling and Simulation

Cite this

A novel representation of the exact solution for differential algebraic equations system using residual power-series method. / Moaddy, Khaled; Al-Smadi, Mohammed; Hashim, Ishak.

In: Discrete Dynamics in Nature and Society, Vol. 2015, 205207, 22.02.2015.

Research output: Contribution to journalArticle

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