East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION

  • Ning, Yang (Department of Mathematics, College of Sciences, Yanbian University) ;
  • Sun, Mingzhe (Department of Mathematics, College of Sciences, Yanbian University) ;
  • Piao, Guangri (Department of Mathematics, College of Sciences, Yanbian University)
  • Received : 2017.09.05
  • Accepted : 2017.09.19
  • Published : 2017.09.30
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Abstract

With the accuracy of the nonlinearity guaranteed, plenty of time and large memory space are needed when we solve the finite element numerical solution of nonlinear partial differential equations. In this paper, we use the Group Element Method (GEM) to deal with the non-linearity of the BBM-Burgers Equation with Conservation form and perform a numerical analysis for two particular initial-boundary value (the Dirichlet boundary conditions and Neumann-Dirichlet boundary conditions) problems with the Finite Element Method (FEM). Some numerical experiments are performed to analyze the error between the exact solution and the FEM solution in MATLAB.

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References

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