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

Khoo Kai Wen () and Zanariah Abdul Majid
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Khoo Kai Wen: Universiti Putra Malaysia, Institute for Mathematical Research
Zanariah Abdul Majid: Universiti Putra Malaysia, Institute for Mathematical Research

A chapter in Recent Advances in Mathematical Sciences, 2016, pp 61-70 from Springer

Abstract: 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.

Keywords: Differential algebraic equations; Hybrid method; Semi-explicit; Self-starting; Constant step size (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-0519-0_6

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DOI: 10.1007/978-981-10-0519-0_6

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