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An algorithm for the numerical solution of nonlinear fractional-order van der Pol oscillator equation. (English) Zbl 1255.65142
Summary: This paper is devoted to the numerical simulation for solving a special class of fractional differential equations. Based on the Grünwald-Letnikov definition of a fractional derivative, a numerical scheme for the approximation of the solution is discussed. By using this scheme, we solve the fractional Van der Pol equation. The results obtained here compare well with the analytical solutions and this shows that the numerical scheme is stable.

MSC:
65L12Finite difference methods for ODE (numerical methods)
34A08Fractional differential equations
34C15Nonlinear oscillations, coupled oscillators (ODE)
65R20Integral equations (numerical methods)
45J05Integro-ordinary differential equations
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References:
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