On the convergence of a coupling successive approximation method for solving Duffing equation
Year: 2014
Type: article
Abstract: General Duffing equations occur in many problems of Mechanics and Dynamics. These equations include nonlinear terms of second and third order, their coefficients are finite but not small parameters. For finding analytical approximate solutions of the general Duffing equation the coupling successive approximation method (CSAM) has been proposed by the authors.In the present paper the convergence of mentioned method is proven and a condition relating coefficients of Duffing equation to provide the convergence procedure is formulated. Emphasize that the assumption of small parameters is not used in the proving.Some examples are presented to illustrate the proposed method, particularly exact solutions of some problems are compared with analytical approximate ones found by CSAM.
Source: Vietnam Journal of Mechanics
Authors: Dao Huy Bich, Nguyen Dang Bich
Institutions: VNU University of Science, Viện Khoa học Công nghệ Xây dựng
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2000267888