THERMAL SCIENCE

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Yi Tian

,

Kang-Le Wang

CONSERVATION LAWS FOR PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE POLYNOMIAL CHARACTERISTIC METHOD

ABSTRACT
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.
KEYWORDS
direct construction method, local conservation law, differential polynomial characteristic set algorithm, variational principle
PAPER SUBMITTED: 2019-03-23
PAPER REVISED: 2019-10-20
PAPER ACCEPTED: 2019-10-21
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004529T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 4, PAGES [2529 - 2534]
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Conservation laws for partial differential equations based on the polynomial characteristic method

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence