A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method
Joint Authors
Moaddy, K.
al-Smadi, Mohammed
Hashim, Ishak
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Moaddy, K.& al-Smadi, Mohammed& Hashim, Ishak. 2015. A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060409
Modern Language Association (MLA)
Moaddy, K.…[et al.]. A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1060409
American Medical Association (AMA)
Moaddy, K.& al-Smadi, Mohammed& Hashim, Ishak. A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060409
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060409