کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1708242 | 1012819 | 2013 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The operational matrix of fractional integration for shifted Chebyshev polynomials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The operational matrix of fractional integration for shifted Chebyshev polynomials The operational matrix of fractional integration for shifted Chebyshev polynomials](/preview/png/1708242.png)
چکیده انگلیسی
A new shifted Chebyshev operational matrix (SCOM) of fractional integration of arbitrary order is introduced and applied together with spectral tau method for solving linear fractional differential equations (FDEs). The fractional integration is described in the Riemann–Liouville sense. The numerical approach is based on the shifted Chebyshev tau method. The main characteristic behind the approach using this technique is that only a small number of shifted Chebyshev polynomials is needed to obtain a satisfactory result. Illustrative examples reveal that the present method is very effective and convenient for linear multi-term FDEs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 26, Issue 1, January 2013, Pages 25–31
Journal: Applied Mathematics Letters - Volume 26, Issue 1, January 2013, Pages 25–31
نویسندگان
A.H. Bhrawy, A.S. Alofi,