Haar wavelet approximation for the solution of cubic nonlinear Schrodinger equations

被引：33

作者：

Pervaiz, Nosheen ^{[1
]}

Aziz, Imran ^{[1
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar, Pakistan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 545卷

关键词：

Haar wavelet; Schrodinger equation; Crank-Nicolson method; FREDHOLM INTEGRAL-EQUATIONS; FINITE-ELEMENT-METHOD; NUMERICAL-SOLUTION; COLLOCATION;

D O I：

10.1016/j.physa.2019.123738

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this study, Haar wavelet collocation method is used for the numerical solution of 1D and 2D cubic nonlinear Schrodinger equations with initial and Dirichlet boundary conditions. The space derivatives are estimated through Haar wavelet collocation method whereas for time derivative we have used Crank-Nicolson scheme. The proposed method is implemented upon several test problems and the numerical results of these test problems establish that the proposed method is accurate. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：17

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