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

Akanksha Bhardwaj; Alpesh Kumar

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

机译：基于RBF的无网格方法的时间分数三族型方程的数值解

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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.

机译：在本发明的稿件中，我们介绍了一种基于RBF的网状方法，以研究跨音流动中出现的时分三胞系式等式。讨论了所提出的数值方案的无条件稳定性和理论上证明。通过使用有限差分方法和空间离散化来完成时间半离散化，我们提出了一种基于RBF的本地搭配方法。一些测试问题被认为是常规的以及不规则的畴，具有均匀和不均匀的点，以显示所提出的方法的可行性和效率。

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来源
《Engineering analysis with boundary elements》 |2020年第9期|96-107|共12页
作者
Akanksha Bhardwaj; Alpesh Kumar;
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作者单位

Department of Basic Sciences and Humanities Rajiv Gandhi Institute of Petroleum Technology Jais Amethi 229304 India;

Department of Basic Sciences and Humanities Rajiv Gandhi Institute of Petroleum Technology Jais Amethi 229304 India;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Radial basis function (RBF); Time-fractional; Tricomi-type problem; Local collocation; Stability analysis;

机译：径向基函数（RBF）;延时的;tricomi型问题;当地搭配;稳定性分析;

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2. RBFs Meshless Method of Lines for the Numerical Solution of Time-Dependent Nonlinear Coupled Partial Differential Equations [J] . Sirajul Haq, Arshad Hussain, Marjan Uddin Applied Mathematics . 2011,第4期

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3. An RBF based meshless method for the distributed order time fractional advection-diffusion equation [J] . Liu Quanzhen, Mu Shanjun, Liu Qingxia, Engineering analysis with boundary elements . 2018,第NOVa期

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4. Meshless Method for Numerical Solution of Fractional Pennes Bioheat Equation [C] . Hitesh Bansu, Sushil Kumar International Conference on Biomedical Engineering . 2021

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5. Meshless collocation methods for the numerical solution of elliptic boundary valued problems the rotational shallow water equations on the sphere. [D] . Blakely, Christopher D. 2009

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6. The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations [O] . N. Thamareerat, A. Luadsong, N. Aschariyaphotha -1

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7. RBFs Meshless Method of Lines for the Numerical Solution of Time-Dependent Nonlinear Coupled Partial Differential Equations [O] . Marjan Uddin, Arshad Hussain, Sirajul Haq 2011

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

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