Wavelets method for the time fractional diffusion-wave equation

被引：99
|
作者：
Heydari, M. H. [1 ,2 ]
Hooshmandasl, M. R. [1 ,2 ]
Ghaini, F. M. Maalek [1 ,2 ]
Cattani, C. [3 ]
机构：
[1] Yazd Univ, Fac Math, Yazd, Iran
[2] Yazd Univ, Lab Quantum Informat Proc, Yazd, Iran
[3] Univ Salerno, Dept Math, Fisciano, Italy
来源：
PHYSICS LETTERS A | 2015年 / 379卷 / 03期
关键词：
Fractional diffusion-wave equation (FDWE); Legendre wavelets (LWs); Hat functions (HFs); Fractional operational matrix (FOM); Caputo derivative; Riemann-Liouville integral; 2-DIMENSIONAL LEGENDRE WAVELETS; FINITE-DIFFERENCE METHODS; NUMERICAL-METHOD; OPERATIONAL MATRIX; INTEGRAL-EQUATIONS; STABILITY; SCHEME;
D O I：
10.1016/j.physleta.2014.11.012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, an efficient and accurate computational method based on the Legendre wavelets (LWs) is proposed for solving the time fractional diffusion-wave equation (FDWE). To this end, a new fractional operational matrix (FOM) of integration for the LWs is derived. The LWs and their FOM of integration are used to transform the problem under consideration into a linear system of algebraic equations, which can be simply solved to achieve the solution of the problem. The proposed method is very convenient for solving such problems, since the initial and boundary conditions are taken into account automatically. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：71 / 76
页数：6
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