کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
473396 | 698790 | 2011 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials](/preview/png/473396.png)
چکیده انگلیسی
This paper presents a computational technique based on the collocation method and Müntz polynomials for the solution of fractional differential equations. An appropriate representation of the solution via the Müntz polynomials reduces its numerical treatment to the solution of a system of algebraic equations. The main advantage of the present method is its superior accuracy and exponential convergence. Consequently, one can obtain good results even by using a small number of collocation points. The accuracy and performance of the proposed method are examined by means of some numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 3, August 2011, Pages 918–929
Journal: Computers & Mathematics with Applications - Volume 62, Issue 3, August 2011, Pages 918–929
نویسندگان
Shahrokh Esmaeili, M. Shamsi, Yury Luchko,