时间分数阶电报方程的一种解技巧

A Solution Technique of the Time Fractional Telegraph Equations

提出了求解时间分数阶电报方程的一种计算有效的解技巧.我们考虑了带初边值条件的时间分数阶电报方程的解问题,借助于变量分离技巧和Adomian分解法,得到该问题分别在齐次和非齐次Dirichlet边界条件下的解析解和近似解,它们都可显式地表示成级数形式,从而易于近似数值计算.

In the paper,a computationally efficient solution technique for the time fractional telegraph equations（TFTE） is proposed. We consider the solution of TFTE with initial- and boundary-value conditions. Using the separation of variables method and Adomian decomposition method, the analytic and approximate solutions of the TFTE with homogeneous and non-homogeneous Dirichlet boundary conditions are obtained,which can be expressed in the form of series ,then computed easily.