The Analitical Solution of Linear and Non-Linear Differential- Algebraic Equations (DAEs) with Laplace-Padé Series Method

Authors : Nooriza Myrzabekova, Ercan Celık

Pages : 129-134

Doi:10.51354/mjen.1449637

View : 37 | Download : 63

Publication Date : 2024-06-21

Article Type : Research Paper

Abstract :In this paper, we apply Laplace-Padé Series method to solve linear and non-linear differentialalgebraic equations (DAEs). Firstly, The basic properties of the Laplace-Padé Series method are given. Secondly, we calculate the arbitrary order power series of differential-algebraic equations (DAEs), then convert it to the series form Laplace-Padé. Then, the three differential-algebraic equations (DAEs) are solved by Laplace-Padé Series method. It was seen that the method gave effective and fast results. Therefore, the method can be easily applied to linear and non-linear differential-algebraic equations (DAEs) problems in different fields.
Keywords : Differential Algebraic Equations DAEs, Power Series, Padé Series, Laplace Padé Series Method