The Analitical Solution of Linear and Non-Linear Differential- Algebraic Equations (DAEs) with Laplace-Padé Series Method
In this paper, we apply Laplace-Padé Series method to solve linear and non-linear differentialalgebraicequations (DAEs). Firstly, The basic properties of the Laplace-Padé Series method aregiven. Secondly, we calculate the arbitrary order power series of differential-algebraic equations(DAEs), then c...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Kyrgyz Turkish Manas University
2024-06-01
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| Series: | MANAS: Journal of Engineering |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/3782803 |
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| Summary: | In this paper, we apply Laplace-Padé Series method to solve linear and non-linear differentialalgebraicequations (DAEs). Firstly, The basic properties of the Laplace-Padé Series method aregiven. 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-algebraicequations (DAEs) are solved by Laplace-Padé Series method. It was seen that the method gaveeffective and fast results. Therefore, the method can be easily applied to linear and non-lineardifferential-algebraic equations (DAEs) problems in different fields. |
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| ISSN: | 1694-7398 |