کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1890606 1533683 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Homotopy–perturbation method for pure nonlinear differential equation
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Homotopy–perturbation method for pure nonlinear differential equation
چکیده انگلیسی

In this paper, the homotopy–perturbation method proposed by J.-H. He is adopted for solving pure strong nonlinear second-order differential equation. For the oscillatory differential equation the initial approximate solution is assumed in the form of Jacobi elliptic function and the forementioned method is used for obtaining of the approximate analytic solution. Two types of differential equations are considered: with strong cubic and strong quadratic nonlinearity. The obtained solution is compared with exact numerical one. The difference between these solutions is negligible for a long time period. The method is found to work extremely well in the examples, but the theoretical reasons are not yet clear.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 30, Issue 5, December 2006, Pages 1221–1230
نویسندگان
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