Haar wavelet approximation for the solution of cubic nonlinear Schrodinger equations

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.