CAblE方程是神经元动力学中最重要的基本方程之一,而用于描述神经纤维活动的分数阶CAblE方程能够更好地模拟神经元的动力学行为.文章采用有限体积法离散得到数值逼近格式,求解一维和二维的分数阶CAblE方程.并用提出的数值方法求解一维和二维情况的两个数值例子,从而说明数值方法的有效性.The cable equation is one of the most fundamental equations for modeling neuronal dynamics.The fractional cable equation has been used to describe nerve fiber.And it has obtained better result in simulating neuron's dynamics behavior.In this paper,we make the first attempt to apply the finite volume method in the solutions of the fractional cable equation in one-dimensional case and two-dimensional case.Firstly the numerical approximation scheme by finite volume method is presented.Then,two numerical examples including one-dimensional case and two-dimensional case are presented by using the numerical technique,which shows the efficiency of the numerical method.国家自然科学基金资助项目(11001090;11026094);福建省自然科学基金资助项目(2010J01011;2010J05009);华侨大学科研启动基金资助项目(08BS507
