 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12788 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8028
|
| In English (Mech. Solids): | | 4760 |
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| Yanhua Cao, Xiaoran Wu, and Zhile Jia, "Space Time Method for Solving KdV and KdV-Burgers' Equation," Mech. Solids. 59 (1), 268-279 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
268-279 |
| DOI |
10.1134/S0025654423602094 |
| Title |
Space Time Method for Solving KdV and KdV-Burgers' Equation |
| Author(s) |
Yanhua Cao (East China Jiaotong University, Nanchang, 330013, China, yanhuacao@yeah.net)
Xiaoran Wu (East China Jiaotong University, Nanchang, 330013, China, wu_xiaoran@ecjtu.edu.cn)
Zhile Jia (East China Jiaotong University, Nanchang, 330013, China, jia_zhile@ecjtu.edu.cn) |
| Abstract |
Korteweg-de Vries equation and KdV-Burgers’ equation are important nonlinear evolutionary equations widely used in engineering and mathematics. These equations have a nonlinear term
which makes such problems very complex, thus, it is hard to obtain a high-precision numerical solution. This paper compares the space-time polynomial particular solutions method (ST-MPPS) with
the Fourier spectral method to solve the KdV and KdV-Burgers’ equation for different final time.
Numerical experiments demonstrate that the space-time polynomial particular solutions method has
high precision and robustness when solving dispersion and nonlinear scattering problems. |
| Keywords |
KdV-Burgers’ equation, KdV equation, space-time method, Fourier spectral method |
| Received |
22 October 2023 | Revised |
21 December 2023 | Accepted |
27 January 2024 |
| Link to Fulltext |
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