کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8147260 | 1524143 | 2017 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Operational matrices to solve nonlinear Riccati differential equations of arbitrary order
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک اتمی و مولکولی و اپتیک
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, an effective numerical method to achieve the numerical solution of nonlinear Riccati differential equations of arbitrary (integer and fractional) order has been developed. For this purpose, the fractional order of the Chebyshev functions (FCFs) based on the classical Chebyshev polynomials of the first kind have been introduced, that can be used to obtain the solution of these equations. Also, the operational matrices of fractional derivative and product for the FCFs have been constructed. The obtained results illustrated demonstrate that the suggested approaches are applicable and valid.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: St. Petersburg Polytechnical University Journal: Physics and Mathematics - Volume 3, Issue 3, October 2017, Pages 242-254
Journal: St. Petersburg Polytechnical University Journal: Physics and Mathematics - Volume 3, Issue 3, October 2017, Pages 242-254
نویسندگان
Kourosh Parand, Mehdi Delkhosh,