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

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  • Khaled Moaddy
  • Mohammed AL-Smadi
  • Ishak Hashim

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.

Suggested Citation

  • Khaled Moaddy & Mohammed AL-Smadi & Ishak Hashim, 2015. "A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-12, February.
  • Handle: RePEc:hin:jnddns:205207
    DOI: 10.1155/2015/205207
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    Cited by:

    1. Akram, Ghazala & Sadaf, Maasoomah & Abbas, Muhammad & Zainab, Iqra & Gillani, Syeda Rijaa, 2022. "Efficient techniques for traveling wave solutions of time-fractional Zakharov–Kuznetsov equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 607-622.

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