Scopus
YÖKSİS Eşleşti
A Novel Numerical Solution Method for Semi-explicit Differential-Algebraic Equations
Turkish Journal of Mathematics and Computer Science · Haziran 2023
YÖKSİS Kayıtları
A Novel Numerical Solution Method for Semi-explicit Differential-Algebraic Equations
Turkish Journal of Mathematics and Computer Science · 2023 TR DİZİN
PROFESÖR NURETTİN DOĞAN →
Makale Bilgileri
DergiTurkish Journal of Mathematics and Computer Science
Yayın TarihiHaziran 2023
Cilt / Sayfa15 · 184-191
Scopus ID2-s2.0-85202538911
Özet
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.
Yazarlar (2)
1
Nurettin Doğan
ORCID: 0000-0002-8267-8469
2
Hasan Hüseyin Sayan
ORCID: 0000-0002-0692-172X
Anahtar Kelimeler
Adomian decomposition method
approximation solution
Differential algebraic equations
index reduction
Laplace transform
Kurumlar
Gazi Üniversitesi
Ankara Turkey
Selçuk Üniversitesi
Selçuklu Turkey