Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation
Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation
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DOI：
10.4208/aamm.12-m12132
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发表时间：
2014-04
影响因子：
1.4
通讯作者：
M. Heydari;M. R. Hooshmandasl;F. Mohammadi
中科院分区：
文献类型：
--
作者：
M. Heydari;M. R. Hooshmandasl;F. Mohammadi
在本文中，我们开发了一种准确且高效的勒让德小波方法，用于众所周知的时间分数式电报方程的数值求解。在所提出的方法中，我们采用了分数阶积分和微分运算矩阵来获得时间电报方程的数值解。这种易于管理的方法的威力得到了证实。此外，勒让德小波的使用被发现是准确、简单和快速的。
In this paper, we develop an accurate and efficient Legendre wavelets method for numerical solution of the well known time-fractional telegraph equation. In the proposed method we have employed both of the operational matrices of fractional integration and differentiation to get numerical solution of the time-telegraph equation. The power of this manageable method is confirmed. Moreover the use of Legendre wavelet is found to be accurate, simple and fast.