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.
Differential-Algebraic Equations (DAEs) Power Series Padé Series Laplace-Padé Series Method
The authors have been supported by the Kyrgyz-Turkish Manas University BAP Coordination Unit with Project number KTMU-BAP-2023.FB.02.
The authors have been supported by the Kyrgyz-Turkish Manas University BAP Coordination Unit with Project number KTMU-BAP-2023.FB.02.
Birincil Dil | İngilizce |
---|---|
Konular | Diferansiyel ve İntegral Denklemlerin Sayısal Çözümü |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Proje Numarası | The authors have been supported by the Kyrgyz-Turkish Manas University BAP Coordination Unit with Project number KTMU-BAP-2023.FB.02. |
Yayımlanma Tarihi | 21 Haziran 2024 |
Gönderilme Tarihi | 9 Mart 2024 |
Kabul Tarihi | 29 Nisan 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 12 Sayı: 1 |
Manas Journal of Engineering