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Numerical Algorithms

, Volume 74, Issue 4, pp 1145–1168 | Cite as

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

  • Rezvan SalehiEmail author
Original Paper

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 3−α ), 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.

Keywords

Multi-term time fractional diffusion-wave equation Fractional derivatives Caputo’s derivative Moving least squares reproducing kernel method Meshless methods Convergence and stability 

Mathematics Subject Classification (2010)

65M70 65N35 65M15 65N12 35R11 

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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of Applied Mathematics, Faculty of Mathematical SciencesTarbiat Modares UniversityTehranIran

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