Numerical solution of time fractional tricomi-type equation by an RBF based meshless method

被引：13

作者：

Bhardwaj, Akanksha ^{[1
]}

Kumar, Alpesh ^{[1
]}

机构：

[1] Rajiv Gandhi Inst Petr Technol, Dept Basic Sci & Humanities, Jais Amethi 229304, India

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2020年 / 118卷

关键词：

Radial basis function (RBF); Time-fractional; Tricomi-type problem; Local collocation; Stability analysis; POINT INTERPOLATION MLRPI; ADVECTION-DIFFUSION EQUATION; KLEIN-GORDON EQUATION; COLLOCATION METHOD; DIFFERENCE SCHEME; WAVE-EQUATION; TELEGRAPH EQUATION; ELEMENT-METHOD; TRANSPORT; SMRPI;

D O I：

10.1016/j.enganabound.2020.06.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：96 / 107

页数：12

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