کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4637506 | 1340742 | 2006 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the solution of the Riccati equation by the Taylor matrix method
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper, we suggest a matrix method to solve the Riccati differential equation in terms of Taylor polynomials. This method is based on first taking the truncated Taylor series of the function in equations and then substituting their matrix forms into the given equation. Hence, the result matrix equation can be solved and the unknown Taylor coefficients can be found approximately. The solution is calculated in the form of a series with easily computable components. The numerical results show the effectiveness of the method for this type of equation. Comparing the methodology with some known techniques shows that the present approach is relatively easy and highly accurate.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 176, Issue 2, 15 May 2006, Pages 414–421
Journal: Applied Mathematics and Computation - Volume 176, Issue 2, 15 May 2006, Pages 414–421
نویسندگان
Mustafa Gülsu, Mehmet Sezer,