Conservation laws for partial differential equations based on the polynomial characteristic method | Zendy

Yi Tian | Zendy; KANG-LE WANG | Zendy

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Conservation laws for partial differential equations based on the polynomial characteristic method

Author(s) -

Yi Tian,

KANG-LE WANG

Publication year - 2020

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci2004529t

Subject(s) - conservation law , set (abstract data type) , polynomial , partial differential equation , process (computing) , mathematics , computer science , differential equation , mathematical optimization , mathematical analysis , programming language , operating system

In this paper, the direct construction method combined with the differential polynomial characteristic set algorithm is used to complete conservation laws of PDE. The process of the direct construction method is to solve a system of linear determining equations, which is not easy to be solved. This paper uses the differential polynomial characteristic set algorithm to overcome the shortcoming, and constructs an explicit conservation law.

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