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.

中文翻译：

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基于RBF的无网格方法求解时间分数三项式方程的数值解

在本文中，我们提出了一种基于RBF的无网格方法，以研究跨音速流中出现的时间分数Tricomi型方程。讨论并从理论上证明了所提出数值方案的无条件稳定性。通过使用有限差分法完成了时间半离散化，对于空间离散化，我们提出了一种基于RBF的局部配置方法。考虑了针对规则域和不规则域的均匀点和非均匀点的一些测试问题，以证明该方法的可行性和有效性。