Paper Title:

A Multi-Stage Differential Transform Approach for Solving Differential Algebraic Systems Without Index Reduction

Author(s):

Khalil Al Ahmad, Farah Abdulla Aini, Amirah Azmi, Muhammad Abbas

School of Mathematical Sciences Universiti Sains Malaysia
11800 USM Penang
Malaysia.
 
Department of Mathematics,
University of Sargodha,
40100 Sargodha,
Pakistan

E-mail: abumohmmadkh@hotmail.com
farahaini@usm.my
amirahazmi@usm.my
muhammad.abbas@uos.edu.pk
 

Abstract:

This paper aims to solve differential algebraic systems without the need to reduce the index, which causes a defect in the behavior of the approximate solution. The differential transform method was developed to solve differential algebraic systems. The differential algebraic system is transferred to the algebraic system by applying the differential transform method. Then the Multi-stage differential transform method is applied to extend the interval of the convergence. The numerical results show the new technique is an efficient and flexible tool to obtain accurate results that meet the initial conditions and keep the behavior of the approximate solution consistent.

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