THERMAL SCIENCE

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Yi Tian

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Xiu-Qing Peng

GALERKIN APPROACH TO APPROXIMATE SOLUTIONS OF SOME BOUNDARY VALUE PROBLEMS

ABSTRACT
This paper uses the Galerkin method to find approximate solutions of some boundary value problems. The solving process requires to solve a system of algebraic equations, which are large and difficult to be solved. According to the Groebner bases theory, an improved Buchberger's algorithm is proposed to solve the algebraic system. The results show that the Galerkin approach is simple and efficient.
KEYWORDS
Galerkin method, boundary value problem, improved version of Buchberger's algorithm, Groebner bases
PAPER SUBMITTED: 2021-08-30
PAPER REVISED: 2022-07-18
PAPER ACCEPTED: 2022-07-18
PUBLISHED ONLINE: 2023-06-11
DOI REFERENCE: https://doi.org/10.2298/TSCI2303957T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [1957 - 1964]
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Galerkin approach to approximate solutions of some boundary value problems

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