A numerical Haar wavelet-finite difference hybrid method for linear and non-linear Schrödinger equation
type: Item
instance of: scholarly article
title: A numerical Haar wavelet-finite difference hybrid method for linear and non-linear Schrödinger equation
author: Muhammad Ahsan
author: Imtiaz Ahmad
author: Masood Ahmad
author: Iltaf Hussian
published in: Mathematics and Computers in Simulation
publication date: 2021-03-02T00:00:00Z
Mathematics Subject Classification ID: 65Txx
Mathematics Subject Classification ID: 45Gxx
Mathematics Subject Classification ID: 65Rxx
zbMATH DE Number: 7316734
zbMATH Keywords: Haar wavelet
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: collocation method
zbMATH Keywords: linearization
zbMATH Keywords: finite difference
MaRDI profile type: Publication
full work available at URL: j.matcom.2019.02.011
OpenAlex ID: W2921799630
cites work: Numerical simulation of partial differential equations via local meshless method
cites work: Local RBF method for multi-dimensional partial differential equations
cites work: Numerical solution of a class of delay differential and delay partial differential equations via Haar wavelet
cites work: Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
cites work: Gaussons: Solitons of the Logarithmic Schrödinger Equation
cites work: Solitons in Laser Physics
cites work: Difference schemes for solving the generalized nonlinear Schrödinger equation
cites work: A quadratic B-spline finite element method for solving nonlinear Schrödinger equation
cites work: Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method
cites work: Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations
cites work: A numerical scheme for nonlinear Schrödinger equation by MQ quasi-interpolation
cites work: Haar wavelet approach to linear stiff systems.
cites work: Remesh-free shape optimization using the wavelet-Galerkin method
cites work: A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method
cites work: A composite numerical scheme for the numerical simulation of coupled Burgers' equation
cites work: Using rationalized Haar wavelet for solving linear integral equations
cites work: A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation
cites work: A comparative analysis of local meshless formulation for multi-asset option models
cites work: Local meshless method for PDEs arising from models of wound healing
cites work: A compact split step Padé scheme for higher-order nonlinear Schrödinger equation (HNLS) with power law nonlinearity and fourth order dispersion
cites work: Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations
cites work: Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
DOI: 10.1016/J.MATCOM.2019.02.011
description: scientific article; zbMATH DE number 7316734