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Keywords: Runge–Kutta method
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2023, 18(2): 021004.
Paper No: CND-22-1127
Published Online: December 19, 2022
... 19 12 2022 generalized fractional derivative fractional differential equation generalized Caputo derivative homotopy analysis method predictor-corrector method Runge–Kutta method In the past few decades, it has been demonstrated that many phenomena in the physical sciences can...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2015, 10(2): 021009.
Paper No: CND-13-1258
Published Online: March 1, 2015
...Liming Dai; Xiaojie Wang; Changping Chen (i) When applying the Runge–Kutta method to solve the second order differential equation of a dynamic system, the system is completely linearized and simplified into two first order differential equations. The linearization and simplification...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2011, 6(4): 041008.
Published Online: April 12, 2011
...Suying Zhang; Jiangdan Li The precise integration method can give precise numerical result for linear invariant dynamical system, and can be used to solve stiff linear invariant dynamical system. In this paper, precise integration is compounded with Runge–Kutta method and a new effective...