Galerkin approach to approximate solutions of some boundary value problems-Reference-Cited by-同舟云学术

Galerkin approach to approximate solutions of some boundary value problems

Published:2023 Issue:3 Part A Volume:27 Page:1957-1964
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Tian Yi¹,Peng Xiu-Qing²

Affiliation:

1. College of Data Science and Application, Inner Mongolia University of Technology, Hohhot, China + Inner Mongolia Autonomous Region Engineering and Technology Research Center of Big Data Based Software Service, Hohhot, China

2. School of Economics and Management, Inner Mongolia University, Hohhot, China

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.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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