An optimized explicit TDRK method for solving oscillatory problems
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Authors
Yong Wang
- School of Business, Linyi University, Linyi, Shandong, 276005, P. R. China.
Min Sun
- School of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, P. R. China.
Hongchun Sun
- School of Business, Linyi University, Linyi, Shandong, 276005, P. R. China.
Abstract
In this paper, a new optimized explicit two-derivative Runge-Kutta (TDRK) method with frequencydepending
coeficients is proposed, which is derived by nullifying the dispersion, the dissipation, and the first
derivative of the dispersion. The new method has algebraic order four and is dispersive of order five and
dissipative of order four. In addition, the phase analysis of the new method is also presented. Numerical
experiments are reported to show the efficiency of the new method.
Share and Cite
ISRP Style
Yong Wang, Min Sun, Hongchun Sun, An optimized explicit TDRK method for solving oscillatory problems, Journal of Mathematics and Computer Science, 16 (2016), no. 2, 205-210
AMA Style
Wang Yong, Sun Min, Sun Hongchun, An optimized explicit TDRK method for solving oscillatory problems. J Math Comput SCI-JM. (2016); 16(2):205-210
Chicago/Turabian Style
Wang, Yong, Sun, Min, Sun, Hongchun. "An optimized explicit TDRK method for solving oscillatory problems." Journal of Mathematics and Computer Science, 16, no. 2 (2016): 205-210
Keywords
- Two-derivative Runge-Kutta method
- phase fitting
- oscillatory problem.
MSC
References
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