- Turkish Journal of Mathematics and Computer Science
- Vol: 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 : 20 | Download : 27
Publication Date : 2023-06-30
Article Type : Research Article
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 (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