Numerical simulation of a class of space fractional bistable systems based on the Fourier spectral method
2021 ◽
pp. 146134842110637
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Nonlinear vibration arises everywhere in a bistable system. The bistable system has been widely applied in physics, biology, and chemistry. In this article, in order to numerically simulate a class of space fractional-order bistable system, we introduce a numerical approach based on the modified Fourier spectral method and fourth-order Runge-Kutta method. The fourth-order Runge-Kutta method is used in time, and the Fourier spectrum is used in space to approximate the solution of the space fractional-order bistable system. Numerical experiments are given to illustrate the effectiveness of this method.
2011 ◽
Vol 3
(4)
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pp. 59-63
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1972 ◽
Vol 94
(4)
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pp. 324-329
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2003 ◽
Vol 143
(2-3)
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pp. 565-570
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