Numerical Solution of Burgers’ Equation Based on Mixed Finite Volume Element Methods-Reference-Cited by-同舟云学术

Numerical Solution of Burgers’ Equation Based on Mixed Finite Volume Element Methods

Published:2020-03-19 Issue: Volume:2020 Page:1-13
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhao Jie¹²^ORCID,Li Hong¹^ORCID,Fang Zhichao¹^ORCID,Bai Xue¹^ORCID

Affiliation:

1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

2. School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China

Abstract

In this article, mixed finite volume element (MFVE) methods are proposed for solving the numerical solution of Burgers’ equation. By introducing a transfer operator, semidiscrete and fully discrete MFVE schemes are constructed. The existence, uniqueness, and stability analyses for semidiscrete and fully discrete MFVE schemes are given in detail. The optimal a priori error estimates for the unknown and auxiliary variables in the L2Ω norm are derived by using the stability results. Finally, numerical results are given to verify the feasibility and effectiveness.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2020/6321209.pdf

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