کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9640412 | 509775 | 2005 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی عمران و سازه
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چکیده انگلیسی
In this paper the homotopy perturbation method is adopted for solving a complex-valued second-order strongly nonlinear differential equation. Homotopy with an imbedding parameter pâ[0,1] is constructed. The perturbation procedure with parameter p transforms the strongly nonlinear differential equation into a system of linear complex-valued differential equations whose solutions give the approximate solution of the initial differential equation. To illustrate the effectiveness and convenience of the suggested procedure, a Duffing equation with strong cubic nonlinearity is considered. The periodic solution in the first approximation is obtained. The solution is compared with the exact one and shows good agreement.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 285, Issues 4â5, 6 August 2005, Pages 1171-1179
Journal: Journal of Sound and Vibration - Volume 285, Issues 4â5, 6 August 2005, Pages 1171-1179
نویسندگان
L. Cveticanin,