期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 324, 期 -, 页码 218-227出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2017.11.058
关键词
B-spline; Quasi-interpolation; DP equation; Finite difference; Numerical solution
资金
- Liaoning Provincial Department of Science and Technology project [20170520281]
- Natural Science Foundation of Liaoning Province [201602044]
- Educational Commission of Liaoning Province of China [L2015093]
- National Natural Science Foundation of China [61401058]
In this paper, a numerical scheme is presented to solve the non-dissipative DegasperisProcesi equation based on the u-p formulation. The cubic B-spline quasi-interpolation coupled with the finite difference method is applied to approximate the spatial derivatives and an optimal third order TVD Runge-Kutta method to estimate the time derivative of the dependent variable. The accuracy and effectiveness of the proposed method are validated by six classical problems. Numerical results indicate that the proposed scheme is simple, easy to implement with high accuracy. (C) 2017 Elsevier Inc. All rights reserved.
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