An Error Analysis of the CN Weighed DG θ Method of the Convection Equation

Mathematics

MuhammadShakhawat Hossain¹  Chunguang Xiong¹ 

[1] Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China;

关键词: CN-DG θ method;    convection equation;    hyperbolic problems;    error analysis;   

DOI  :  10.3390/math9090970

来源: DOAJ

【 摘 要 】

In this research paper, a weighed DG finite element method is proposed for solving convection equations with an easy execution and analysis. The key aim of this method is to design an error estimation for space and time of a discontinuous approximation on general finite element meshes. The efficiency of the parameter $\theta$ in the order of convergence of the solutions is also exposed. Some numerical examples were tested that demonstrated the strength and flexibility of the method.

【 授权许可】

Unknown