An optimized explicit TDRK method for solving oscillatory problems

Volume 16, Issue 2, pp 205-210 http://dx.doi.org/10.22436/jmcs.016.02.08

Publication Date: June 15, 2016 Submission Date: January 28, 2016

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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.

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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

65L05
65L06

References

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