A technique for approximate solutions to Schrödinger-like equations
type: Item
instance of: scholarly article
title: A technique for approximate solutions to Schrödinger-like equations
zbMATH Open document ID: 0707.65086
DOI: 10.1016/0898-1221(90)90070-Z
publication date: 1990-01-01T00:00:00Z
review text: To built approximate solutions to Schrödinger-like equations \(\nabla^ 2u+kf(x,y,z)=0\) (and also to the equations in one- and two-dimensional space) the author proposes to use the decomposition method developed by \textit{G. Adomian} [J. Math. Anal. Appl. 113, 202-209 (1986; Zbl 0606.35037)]. For specific equations some first terms of series of approximate solutions are found. The examples of computing of a few terms of the approximation show the good accuracy of the considered method.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 4162206
zbMATH Keywords: domain decomposition method
zbMATH Keywords: Schrödinger-like equations
author: Barun Kumar Datta
reviewed by: Leonid Lebedev
MaRDI profile type: Publication
cites work: The decomposition method applied to stiff systems
cites work: An investigation of the asymptotic decomposition method for nonlinear equations in physics
cites work: On the Adomian (decomposition) method and comparisons with Picard's method
cites work: A new approach to the wave equation - an application of the decomposition method
cites work: Nonlinear stochastic differential delay equations
cites work: Convergent series solution of nonlinear equations
cites work: A new approach to the heat equation - an application of the decomposition method
cites work: Q3222535
cites work: Nonlinear equations with mixed derivatives
cites work: Solving the nonlinear equations of physics
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4162206