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

Author

Listed:
  • Muhammad Shakhawat Hossain

    (Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China)

  • Chunguang Xiong

    (Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China)

Abstract

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 θ 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.

Suggested Citation

  • Muhammad Shakhawat Hossain & Chunguang Xiong, 2021. "An Error Analysis of the CN Weighed DG θ Method of the Convection Equation," Mathematics, MDPI, vol. 9(9), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:970-:d:543523
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