کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9640431 | 509794 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A general form of Krylov-Bogoliubov-Mitropolskii method for solving nonlinear partial differential equations
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی عمران و سازه
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A general asymptotic solution can be obtained for a class of partial differential equations with small nonlinearities whose dominant linear part involves an nth order, n=2,3,â¦, time derivative. The method used is an extension of the Krylov-Bogoliubov-Mitropolskii (KBM) method. The formulation as well as the determination of the solution is quite easy. Many authors have extended the KBM method to investigate some physical and mechanical oscillating systems, modelled by either second-order hyperbolic type partial differential equations or certain partial differential equations with third-order time derivative. They mainly extended the method to investigate individual problems. On the contrary, the proposed solution covers various types of nonlinear problems modelled by partial differential equations whose linear part involves second-, third-, etc. order time derivative. Substituting n=2,3 into the general formula, it can be shown that the formula readily becomes to those extended by several authors. The method is illustrated with a physical problem whose linear part involves a third-order time derivative.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 285, Issues 1â2, 6 July 2005, Pages 173-185
Journal: Journal of Sound and Vibration - Volume 285, Issues 1â2, 6 July 2005, Pages 173-185
نویسندگان
M. Shamsul Alam, M. Ali Akbar, M. Zahurul Islam,