کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5023037 1369783 2017 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions
ترجمه فارسی عنوان
حل معادلات دیفرانسیل مختلط بر اساس ماتریس عملیاتی جدید توابع برنشتاین کسپرسکی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی (عمومی)
چکیده انگلیسی

An algorithm for approximating solutions to fractional differential equations (FDEs) in a modified new Bernstein polynomial basis is introduced. Writing x→xα(0<α<1) in the operational matrices of Bernstein polynomials, the fractional Bernstein polynomials are obtained and then transformed into matrix form. Furthermore, using Caputo fractional derivative, the matrix form of the fractional derivative is constructed for the fractional Bernstein matrices. We convert each term of the problem to the matrix form by means of fractional Bernstein matrices. A basic matrix equation which corresponds to a system of fractional equations is utilized, and a new system of nonlinear algebraic equations is obtained. The method is given with some priori error estimate. By using the residual correction procedure, the absolute error can be estimated. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of King Saud University - Science - Volume 29, Issue 1, January 2017, Pages 1-18
نویسندگان
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