A Novel Numerical Solution Method for Semi-explicit Differential-Algebraic Equations

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Turkish Journal of Mathematics and Computer Science
Volume:15 Issue:1
A Novel Numerical Solution Method for Semi-explicit Differential-Algebraic Equations

A Novel Numerical Solution Method for Semi-explicit Differential-Algebraic Equations

Authors : Nurettin DOĞAN, Hasan Hüseyin SAYAN

Pages : 184-191

Doi:10.47000/tjmcs.1149107

View : 59 | Download : 37

Publication Date : 2023-06-30

Article Type : Research Paper

Abstract :Generally, DAEs do not have a closed form solution, so these equations have to be solved numerically. In this work, an approximate analytic series solution of the semi-explicit DAEs is obtained by using Laplace Adomian Decomposition Method insert ignore into journalissuearticles values(LADM);. Before directly solving the high-index semi-explicit DAEs, we apply the index reduction method to high-index semi-explicit DAEs since solving high-index semi-explicit DAEs is difficult. Then, we use the LADM obtaining the numerical solution. To show computational capability and efficiency of the LADM for the solution of semi-explicit DAEs, a couple of numerical examples are given. It has been shown that the intoduced algorithm has a very good accuricy compared with exact solution for the semi-explicit DAEs. So it can be applied to other DAEs.
Keywords : Differential algebraic equations, index reduction, Laplace transform, Adomian decomposition method, approximation solution

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