The PINNs method discovery to the solution of coupled Wave- Klein-Gordon equations

Recently, the research of PDEs is regarded as one of the most important disciplines. Almost all scientific problems can be described by a differential equation, especially, many physical phenomena can be described by the system of coupled Wave-Klein-Gordon equations, which plays an important role in...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-02, Vol.1754 (1), p.12228
Main Authors: Wang, Tianyi, Chi, Xuebin
Format: Article
Language:English
Subjects:
Computation
Control systems
High performance computing
Mathematical analysis
Partial differential equations
Physics
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Summary:Recently, the research of PDEs is regarded as one of the most important disciplines. Almost all scientific problems can be described by a differential equation, especially, many physical phenomena can be described by the system of coupled Wave-Klein-Gordon equations, which plays an important role in high-performance computing, control engineering, and electronic power system. Consequently, in our work, we use the PINNs to solve the numerical solution of coupled Wave-Klein-Gordon equations, to help us better understand the nonlinear physical phenomena, and to promote the rapid development of various fields such as in high-performance computing, control engineering, and electronic power system.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1754/1/012228