Abstract
In this article we examine the weighted average finite difference methods to approximate the fractional variable-order wave equation, where, the order of the differentiation can be a function of time. The fractional differentiation of the of variable-order are described in terms of the Riemann-Liouville concept. The stability of the utilized method are proved by using a kind of Von Neumann analysis. To reveals that the method is effective, two examples are offered. and the obtained solutions were compared with the exact solutions.
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