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The PINNs method discovery to the solution of coupled Wave- Klein-Gordon equations
Author(s) -
Tianyi Wang,
Xuebin Chi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1754/1/012228
Subject(s) - klein–gordon equation , nonlinear system , computer science , physical system , power (physics) , work (physics) , wave equation , differential equation , traveling wave , partial differential equation , mathematics , physics , mathematical analysis , quantum mechanics
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.

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