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http://dx.doi.org/10.7858/eamj.2017.034

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)
Publication Information
East Asian mathematical journal / v.33, no.5, 2017 , pp. 495-509 More about this Journal
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.
Keywords
BBM-Burgers equation; Conservation Form; Group Element Method; Finite Element Method;
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