کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776633 | 1632155 | 2017 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis](/preview/png/5776633.png)
چکیده انگلیسی
A numerical method for fractional order differential equations (FDEs) and constant or time-varying delayed fractional differential equations (FDDEs) is constructed. This method is of BDF-type which is based on the interval approximation of the true solution by truncated shifted Chebyshev series. This approach can be reformulated in an equivalent way as a Runge-Kutta method and its Butcher tableau is given. A detailed local and global truncating errors analysis is deduced for the numerical solutions of FDEs and FDDEs. Illustrative examples are included to demonstrate the validity and applicability of the proposed approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 118, August 2017, Pages 266-276
Journal: Applied Numerical Mathematics - Volume 118, August 2017, Pages 266-276
نویسندگان
V.G. Pimenov, A.S. Hendy,