Jin_Xin relaxation solution to the spatially-varying Burgers equation in one dimension

International Conference on Science and Applied Science (Engineering and Educational Science) 2016

物理学;工业技术;教育

Mungkasi, Sudi^1 ; Laras, Fioretta^1

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

55002, Indonesia^1

关键词: Burgers equations;    One dimension;    Relaxation methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/795/1/012043/pdf
DOI  :  10.1088/1742-6596/795/1/012043

来源: IOP

【 摘 要 】

We consider the spatially-varying Burgers equation in one dimension. We take the Lax-Friedrichs finite volume method and Jin-Xin relaxation method in solving the equation. According to our research, the Jin-Xin relaxation method produces a more accurate solution, as they produce smaller error than the Lax-Friedrichs finite volume method. However, the Lax-Friedrichs finite volume method is faster in computation than the Jin-Xin method.