Solving Multi-Term Orders Fractional Differential Equations by Operational Matrices of Bps With Convergence Analysis
No Thumbnail Available
Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper, we present a numerical method for solving a class of fractional differential equations (FDEs). Based on Bernstein Polynomials (BPs) basis, new matrices are utilized to reduce the multi-term orders fractional differential equation to a system of algebraic equations. Convergence analysis is shown by several theorems. Illustrative examples are included to demonstrate the validity and applicability of this method.
Description
Keywords
Bernstein Polynomials, Caputo Derivative, Convergence Analysis, Fractional Differential Equations, Operational Matrix
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Rostamy, Davood...et al. (2013). "Solving multi-term orders fractional differential equations by operational matrices of BPs with convergence analysis", Romanian Reports in Physics, Vol. 65, No. 2, pp. 334-349.
WoS Q
Q2
Scopus Q
Q2
Source
Romanian Reports in Physics
Volume
65
Issue
2
Start Page
334
End Page
349
Google Scholar™
Sustainable Development Goals
7
AFFORDABLE AND CLEAN ENERGY
