An explicit trigonometrically fitted Runge–Kutta method for stiff and oscillatory problems with two frequencies
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DOI: 10.1080/00207160.2018.1437263
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… read more here.
Keywords: problems two; kutta method; two frequencies; method ... See more keywords
On the Simulations of Second-Order Oscillatory Problems with Applications to Physical Systems
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DOI: 10.2139/ssrn.4183287
Abstract: Second-order oscillatory problems have been found to be applicable in studying various phenomena in science and engineering; this is because these problems have the capabilities of replicating different aspects of the real world. In this… read more here.
Keywords: oscillatory problems; order oscillatory; second order; method ... See more keywords