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One-Step Implicit Hybrid Method for Solving Semi-explicit Index-1 Differential Algebraic Equations

In: Recent Advances in Mathematical Sciences

Author

Listed:
  • Khoo Kai Wen

    (Universiti Putra Malaysia, Institute for Mathematical Research)

  • Zanariah Abdul Majid

    (Universiti Putra Malaysia, Institute for Mathematical Research)

Abstract

In this paper, a self-starting one-step implicit hybrid method is proposed to solve semi-explicit index-1 differential algebraic equations (DAEs). The proposed method is formulated using Lagrange interpolating polynomial. The proposed method will compute the solutions of differential algebraic equations using constant step size. Implementation of the method involved Newton’s iteration in order to solve semi-explicit index-1 differential algebraic equations. Numerical examples are shown in order to present the applicability of the proposed method when solving the semi-explicit index-1 differential algebraic equations. The results of proposed method show better results compared to existing methods when solving semi-explicit index-1 differential algebraic equations.

Suggested Citation

  • Khoo Kai Wen & Zanariah Abdul Majid, 2016. "One-Step Implicit Hybrid Method for Solving Semi-explicit Index-1 Differential Algebraic Equations," Springer Books, in: Adem Kılıçman & Hari M. Srivastava & M. Mursaleen & Zanariah Abdul Majid (ed.), Recent Advances in Mathematical Sciences, pages 61-70, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-0519-0_6
    DOI: 10.1007/978-981-10-0519-0_6
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