A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION
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초록
With the accuracy of the nonlinearity guaranteed, plenty of time and large memory space are needed when we solve the finite ele- ment 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 per- form a numerical analysis for two particular initial-boundary value (the Dirichlet boundary conditions and Neumann-Dirichlet boundary condi- tions) 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.
Abstract
With the accuracy of the nonlinearity guaranteed, plenty of time and large memory space are needed when we solve the finite ele- ment 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 per- form a numerical analysis for two particular initial-boundary value (the Dirichlet boundary conditions and Neumann-Dirichlet boundary condi- tions) 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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