|
|
|
|
numerical calculation of fractional derivatives for the sinc functions via legendre polynomials
|
|
|
|
|
|
|
|
نویسنده
|
saadatmandi abbas ,khani ali ,azizi mohammad reza
|
|
منبع
|
mathematics interdisciplinary research - 2020 - دوره : 5 - شماره : 2 - صفحه:71 -86
|
|
چکیده
|
this paper provides the fractional derivatives of the caputo type for the sinc functions. it allows to use efficient numerical method for solving fractional differential equations. at first, some properties of the sinc functions and legendre polynomials required for our subsequent development are given. then we use the legendre polynomials to approximate the fractional derivatives of sinc functions. some numerical examples are introduced to demonstrate the reliability and effectiveness of the introduced method.
|
|
کلیدواژه
|
sinc functions ,fractional derivatives ,collocation method ,caputo derivative shifted legendre polynomials
|
|
آدرس
|
university of kashan, faculty of mathematical sciences, department of applied mathematics, iran, azarbaijan shahid madani university, faculty of sciences, department of mathematics, iran, azarbaijan shahid madani university, faculty of sciences, department of mathematics, iran
|
|
پست الکترونیکی
|
mohamadrezaazizi52@gmail.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|