An algorithm for the numerical solution of nonlinear fractional-order Van der Pol oscillator equation

作者：Jafari H^*; Khalique C M; Nazari M

来源：Mathematical and Computer Modelling, 2012, 55(5-6): 1782-1786.

DOI：10.1016/j.mcm.2011.11.029

• Numerical solution
• Fractional derivative
• Van der Pol equation

This paper is devoted to the numerical simulation for solving a special class of fractional differential equations. Based on the Grunwald-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.

• 出版日期2012-3
• 单位西北大学