带阻尼项的时间空间分数阶电报方程的差分格式及其稳定性分析

摘要

The numerical solution to the damping time‐space fractional telegraph equation is studied .Firstly the implicit difference approximation is constructed for this equation ,then its stability is analyzed ,finally the conclusion is reached that it is stable in any conditions .%研究了带阻尼项的分数阶电报方程的数值解法，首先用有限差分法对方程进行离散并得出差分格式，随后对该差分格式的稳定性做出分析，最后得出该差分格式是无条件稳定的。