Về sự hội tụ của phương pháp xấp xỉ liên tiếp kết hợp để giải phương trình Duffing

• Ngôn ngữ: vie
• Ký hiệu phân loại: 511.4 Approximations formerly also 513.24 and expansions
• Thông tin xuất bản: Vietnam Journal of Mechanics, 2014
• Mô tả vật lý: 185-200
• Bộ sưu tập: Metadata
• ID: 505509

Tóm tắt

General Duffing equations occur in many problems of Mechanics and Dynamics. These equations include nonlinear terms of second an 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 ithe 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.