A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series MethodReportar como inadecuado




A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Discrete Dynamics in Nature and Society - Volume 2015 2015, Article ID 205207, 12 pages -

Research Article

Department of Mathematics, Faculty of Science and Arts, Shaqra University, Shaqra 11691, Saudi Arabia

Applied Science Department, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan

School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Research Institute, Center for Modeling & Computer Simulation RI-CM&CS, King Fahd University of Petroleum & Minerals, Dharan 31261, Saudi Arabia

Received 16 October 2014; Accepted 7 December 2014

Academic Editor: Zhengqiu Zhang

Copyright © 2015 Khaled Moaddy et al. 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.

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.





Autor: Khaled Moaddy, Mohammed AL-Smadi, and Ishak Hashim

Fuente: https://www.hindawi.com/



DESCARGAR PDF




Documentos relacionados