A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation

被引：49

作者：

Salehi, Rezvan ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Appl Math, POB 14115-134, Tehran, Iran

来源：

NUMERICAL ALGORITHMS | 2017年 / 74卷 / 04期

关键词：

Multi-term time fractional diffusion-wave equation; Fractional derivatives; Caputo's derivative; Moving least squares reproducing kernel method; Meshless methods; Convergence and stability; BOUNDARY-VALUE-PROBLEMS; FINITE-ELEMENT-METHOD; DIFFERENTIAL-EQUATIONS; SUBDIFFUSION EQUATION; NUMERICAL-SOLUTION; SPECTRAL METHOD; PARTICLE METHOD; SPACE; SCHEME; DOMAIN;

D O I：

10.1007/s11075-016-0190-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a meshless collocation method is considered to solve the multi-term time fractional diffusion-wave equation in two dimensions. The moving least squares reproducing kernel particle approximation is employed to construct the shape functions for spatial approximation. Also, the Caputo's time fractional derivatives are approximated by a scheme of order O(tau (3-alpha) ), 1 < alpha < 2. Stability and convergence of the proposed scheme are discussed. Some numerical examples are given to confirm the efficiency and reliability of the proposed method.

引用

页码：1145 / 1168

页数：24

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