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.
Differential algebraic equations index reduction Laplace transform Adomian decomposition method approximation solution
Primary Language | English |
---|---|
Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | June 30, 2023 |
Published in Issue | Year 2023 Volume: 15 Issue: 1 |