The investigation of the transient regimes in the nonlinear systems by the generalized classical method
type: Item
instance of: scholarly article
title: The investigation of the transient regimes in the nonlinear systems by the generalized classical method
zbMATH Open document ID: 1200.65055
DOI: 10.1155/MPE.2005.503
author: B. E. Eshmatov
published in: Mathematical Problems in Engineering
publication date: 2008-11-20T00:00:00Z
full work available at URL: https://eudml.org/doc/45317
review text: Summary: This paper presents the use of the generalized classical method (GCM) for solving linear and nonlinear differential equations. This method is based on the differential transformation (DT) technique. In the GCM, the solution of the nonlinear transient regimes in the physical processes can be written as a functional series with unknown coefficients. The series can be chosen to satisfy the initial and boundary conditions which represent the properties of the physical process. The unknown coefficients of the series are determined from the differential transformation of the nonlinear differential equation of the system. Therefore, the approximate solution of the nonlinear differential equation can be obtained as a closed-form series.The validity and efficiency of the GCM is shown using some transient regime problems in the electromechanics processes. The numerical results obtained by the present method are compared with the analytical solutions of the equations. It is shown that the results are found to be in good agreement with each other.
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 5369079
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5369079