Some advantages of implementing an adaptive moving mesh for the solution to the Burgers equation

9th Curtin University of Technology Science and Engineering International Conference 2014

自然科学;工业技术

Mungkasi, Sudi^1

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

55002, Indonesia^1

关键词: Adaptive methods;    Burgers equations;    Moving mesh;    Moving mesh method;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/78/1/012031/pdf
DOI  :  10.1088/1757-899X/78/1/012031

来源: IOP

【 摘 要 】

The Burgers equation is considered. The equation is solved using finite difference methods. The standard finite difference method may lead to inaccurate solutions, unless a very fine mesh is used, which results in expensive computations. Therefore, we implement an adaptive finite difference moving mesh method as an alternative numerical method to solve the equation. The advantages of implementing the adaptive method are investigated.