کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470844 698568 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the solution of strong nonlinear oscillators by applying a rational elliptic balance method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
On the solution of strong nonlinear oscillators by applying a rational elliptic balance method
چکیده انگلیسی

A rational elliptic balance method is introduced to obtain exact and approximate solutions of nonlinear oscillators by using Jacobi elliptic functions. To illustrate the applicability of the proposed rational elliptic forms in the solution of nonlinear oscillators, we first investigate the exact solution of the non-homogenous, undamped Duffing equation. Then, we introduce first and second order rational elliptic form solutions to obtain approximate solutions of two nonlinear oscillators. At the end of the paper, we compare the numerical integration values of the angular frequencies with approximate solution results, based on the proposed rational elliptic balance method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 60, Issue 5, September 2010, Pages 1409–1420
نویسندگان
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