Abstract

In the present manuscript, we present an RBF based meshless method to investigate the time-fractional Tricomi-type equation, which has been arising in transonic flow. The unconditional stability of the proposed numerical scheme is discussed and theoretically proved. The time semi discretization has been done by using the finite difference method and for space discretization, we proposed an RBF based local collocation method. Some test problems are considered for regular as well as an irregular domain with uniform and non-uniform points to show the feasibility and efficiency of the proposed method.

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