The Analitical Solution of Linear and Non-Linear Differential- Algebraic Equations (DAEs) with Laplace-Padé Series Method
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
Project Number
The authors have been supported by the Kyrgyz-Turkish Manas University BAP Coordination Unit with Project number KTMU-BAP-2023.FB.02.
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