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

Mathematics

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