A Crank–Nicolson finite difference method is presented to solve a system of time fractional coupled Korteweg–de Vries (KdV) equation, the Grünwald–Letnikov definition is used for the time-fractional derivative. The approximation solutions for some numerical examples by the proposed method clarify that the method is applicable, simple and efficient for such problems.

中文翻译：

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时间分数耦合KdV方程的Crank-Nicolson有限差分法

提出了一种 Crank-Nicolson 有限差分方法来求解时间分数耦合 Korteweg-de Vries (KdV) 方程系统，Grünwald-Letnikov 定义用于时间分数导数。所提出的方法对一些数值例子的近似解表明该方法适用于此类问题，简单有效。