TY  - JOUR
TI  - A Novel Numerical Solution Method for Semi-explicit Differential-Algebraic Equations
AB  - 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.
AU  - DOĞAN, Nurettin
AU  - Sayan, Hasan Huseyin
DO  - 10.47000/tjmcs.1149107
PY  - 2023
JO  - Turkish Journal of Mathematics and Computer Science
VL  - 15
IS  - 1
SN  - 2148-1830
SP  - 184
EP  - 191
DB  - TRDizin
UR  - http://search/yayin/detay/1184112
ER  -