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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 53 - 65 (13page)
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Numerical solutions of the Rosenau-Burgers equation based on the cubic B-spline finite element method are introduced. The back- ward Euler method is used for discretization in time, and the obtained nonlinear algebraic system is changed to a linear system by the Newton’s method. We show that those methods are unconditionally stable. Two test problems are studied to demonstrate the accuracy of the proposed method. The computational results indicate that numerical solutions are in good agreement with exact solutions.
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참고문헌 (17)
참고문헌 신청
A.A. Soliman / 2012 / A Galerkin solution for Burgers equation using Cubic B-spline finite ele-ments / Abstr. Appl. Anal 2012
B. Hu / 2008 / Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation / Appl. Math. Comput 204 : 311 ~ 316
G.Y. Xue / 2013 / A new finite difference scheme for generalized Roseau-Burgers equation / Appl. Math. Comput 222 : 490 ~ 496
J.S. Hu / 2011 / Average implicit linear difference scheme for generalized Rosenau-Burgers equation / Appl. Math. Comput 217 : 7557 ~ 7563
L. Liu / 2002 / A better asymptotic profile of Rosenau-Burgers equation / Appl. Math. Comput 131 : 147 ~ 170
B. Hu / 2008 / Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation / Appl. Math. Comput 204 : 311 ~ 316
G.Y. Xue / 2013 / A new finite difference scheme for generalized Roseau-Burgers equation / Appl. Math. Comput 222 : 490 ~ 496
J.S. Hu / 2011 / Average implicit linear difference scheme for generalized Rosenau-Burgers equation / Appl. Math. Comput 217 : 7557 ~ 7563
L. Liu / 2002 / A better asymptotic profile of Rosenau-Burgers equation / Appl. Math. Comput 131 : 147 ~ 170
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