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ABSTRACT In this paper, a new explicit fourth-order Runge–Kutta method adapted to oscillatory problems with two frequencies (μ and ν) is developed. The new method can integrate exactly the different… Click to show full abstract
ABSTRACT In this paper, a new explicit fourth-order Runge–Kutta method adapted to oscillatory problems with two frequencies (μ and ν) is developed. The new method can integrate exactly the different harmonic oscillators and simultaneously. Numerical stability and phase properties of the new method are analysed. Numerical experiments are conducted to illustrate the high accuracy and competence of our new method in comparison with some highly effective methods from the recent literature.
Keywords:
problems two;
kutta method;
two frequencies;
method;
runge kutta;
oscillatory problems
Journal Title: International Journal of Computer Mathematics
Year Published: 2020
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Journal Title: International Journal of Computer Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!