用于二维时空分数阶薛定谔方程的拉盖尔小波方法
Laguerre Wavelet Approach for a Two-Dimensional Time-Space Fractional Schrödinger Equation.
作者信息
Bekiros Stelios, Soradi-Zeid Samaneh, Mou Jun, Yousefpour Amin, Zambrano-Serrano Ernesto, Jahanshahi Hadi
机构信息
FEMA, University of Malta, MSD 2080 Msida, Malta.
LSE Health, Department of Health Policy, London School of Economics and Political Science, London WC2A 2AE, UK.
出版信息
Entropy (Basel). 2022 Aug 11;24(8):1105. doi: 10.3390/e24081105.
This article is devoted to the determination of numerical solutions for the two-dimensional time-spacefractional Schrödinger equation. To do this, the unknown parameters are obtained using the Laguerre wavelet approach. We discretize the problem by using this technique. Then, we solve the discretized nonlinear problem by means of a collocation method. The method was proven to give very accurate results. The given numerical examples support this claim.
本文致力于二维时空分数阶薛定谔方程数值解的确定。为此，使用拉盖尔小波方法获得未知参数。我们利用该技术对问题进行离散化。然后，通过配置法求解离散化的非线性问题。该方法被证明能给出非常精确的结果。给出的数值例子支持这一说法。
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