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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 495 - 509 (15page)
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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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참고문헌 (27)
참고문헌 신청
B. Kramer / 2011 / Model Reduction of the Coupled Burgers Equation in Conservation Form / PhD / Virginia Polytechnic Institute and State University
C.A.J. Fletcher / 1984 / Computational galerkin methods, volume 260 / Springer-Verlag
D. H. Peregrine / 1966 / Calculations of the development of an undular bore / J Fluid Mech 25 : 321 ~ 326
D. Kaya / 2004 / A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation / Appl Math Comput 149 : 833 ~ 841
D. Kaya / 2004 / Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation / Appl Math Comput 151 : 775 ~ 787
C.A.J. Fletcher / 1984 / Computational galerkin methods, volume 260 / Springer-Verlag
D. H. Peregrine / 1966 / Calculations of the development of an undular bore / J Fluid Mech 25 : 321 ~ 326
D. Kaya / 2004 / A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation / Appl Math Comput 149 : 833 ~ 841
D. Kaya / 2004 / Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation / Appl Math Comput 151 : 775 ~ 787
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