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

Authors :
Salehi, Rezvan
Source :
Numerical Algorithms; Apr2017, Vol. 74 Issue 4, p1145-1168, 24p
Publication Year :
2017

Abstract

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( τ ), 1< α < 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10171398
Volume :
74
Issue :
4
Database :
Complementary Index
Journal :
Numerical Algorithms
Publication Type :
Academic Journal
Accession number :
121977120
Full Text :
https://doi.org/10.1007/s11075-016-0190-z