A Residual Power Series Technique for Solving Systems of Initial Value Problems

Authors

Shaher Momani, Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan\\ Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaFollow
Omar Abu Arqub, Department of Mathematics , Faculty of Science,Al Balqa Applied University, Salt 19117, JordanFollow
Ma’mon Abu Hammad, Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, JordanFollow
Zaer S. Abo-Hammour, Department of Mechatronics Engineering, Faculty of Engineering and Technology, The University of Jordan, Amman 11942, JordanFollow

Author Country (or Countries)

Saudi Arabia

Abstract

In this article, a residual power series technique for the power series solution of systems of initial value problems is introduced. The new approach provides the solution in the form of a rapidly convergent series with easily computable components using symbolic computation software. The proposed technique obtains Taylor expansion of the solution of a system and reproduces the exact solution when the solution is polynomial. Numerical examples are included to demonstrate the efficiency, accuracy, and applicability of the presented technique. The results reveal that the technique is very effective, straightforward, and simple.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100237

Recommended Citation

Momani, Shaher; Abu Arqub, Omar; Abu Hammad, Ma’mon; and S. Abo-Hammour, Zaer (2016) "A Residual Power Series Technique for Solving Systems of Initial Value Problems," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 37.
DOI: http://dx.doi.org/10.18576/amis/100237
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/37