An investigation of the asymptotic decomposition method for nonlinear equations in physics
type: Item
instance of: scholarly article
title: An investigation of the asymptotic decomposition method for nonlinear equations in physics
zbMATH Open document ID: 0637.65086
DOI: 10.1016/0096-3003(87)90027-0
author: B. George
published in: Applied Mathematics and Computation
publication date: 1987-01-01T00:00:00Z
review text: The paper presents some useful illustrations on the author's decomposition method, and contains 14 examples of nonlinear equations - six of them are of first order and one of second order ordinary equations, and seven partial differential equations of first and second order. It is shown that the decomposition method makes possible the study of the behaviour of the differential equation solution when an independent variable (or variables) tends to infinity.
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 34E99
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4039182
zbMATH Keywords: asymptotic behaviour of the solution
zbMATH Keywords: decomposition method
MaRDI profile type: Publication
full work available at URL: 0096-3003(87)90027-0
OpenAlex ID: W1997196195
cites work: Inversion of nonlinear stochastic operators
cites work: Nonlinear equations with mixed derivatives
description: scientific article; zbMATH DE number 4039182