کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640290 1341269 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximate analytical solutions for Kolmogorov’s equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Approximate analytical solutions for Kolmogorov’s equations
چکیده انگلیسی

This paper reports the explicit analytical solutions for Kolmogorov’s equations. Kolmogorov’s equations are commonly used to describe the structure of local isotropic turbulence, but their exact analytical solutions have not yet been found. In this paper, the closed-form solutions for two kinds of Kolmogorov’s equations are obtained. The derivations of the approximate solutions are based on the homotopy analysis method, which is a new tool for obtaining the approximate analytical solutions of both strong and weak nonlinear differential equations. To examine the validity of the approximate solutions, numerical comparisons between results from the homotopy analysis method and the fourth-order Runge–Kutta method are carried out. It is shown that the results are in good agreement.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 3, 1 December 2010, Pages 747–755
نویسندگان
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