Jin_Xin relaxation method used to solve the one-dimensional inviscid Burgers equation

Conference on Theoretical Physics and Nonlinear Phenomena 2016

Mungkasi, Sudi^1 ; Wuri Harini, Bernadeta^2 ; Wiryanto, Leo Hari^3

Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta

55002, Indonesia^1

Department of Electrical Engineering, Faculty of Science and Technology, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta

55002, Indonesia^2

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Jalan Ganesha 10, Bandung

40132, Indonesia^3

关键词: Analytical properties;    Burgers equations;    Numerical solution;    Relaxation methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/856/1/012007/pdf
DOI  :  10.1088/1742-6596/856/1/012007

来源: IOP

【 摘 要 】

We consider the Burgers equation and seek for its numerical solutions. The relaxation method of Jin and Xin, called the Jin-Xin relaxation method, is tested to solve the Burgers equation. We find that the Jin-Xin relaxation method solves the Burgers equation successfully. In addition, the Jin-Xin relaxation method holds the analytical properties of the Burgers equation better than the standard Lax-Friedrichs finite-volume method does.