An efficient computational method for solving fractional biharmonic equation

In this paper, we first introduce the fractional biharmonic equation and an orthogonal system of basis functions for the space of continuous functions on the interval , generated by the shifted Chebyshev polynomials. Moreover, we propose a computational method based on the operational matrix of frac...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2014-08, Vol.68 (3), p.269-287
Main Authors: Heydari, M.H., Hooshmandasl, M.R., Maalek Ghaini, F.M.
Format: Article
Language:English
Subjects:
Basis functions
Biharmonic equations
Chebyshev approximation
Computation
Derivatives
Mathematical analysis
Mathematical models
Polynomials
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we first introduce the fractional biharmonic equation and an orthogonal system of basis functions for the space of continuous functions on the interval , generated by the shifted Chebyshev polynomials. Moreover, we propose a computational method based on the operational matrix of fractional derivatives of these basis functions for solving the fractional biharmonic equation. The main characteristic behind this approach is that it reduces the problem under consideration to solving a system of algebraic equations which greatly simplifies the problem. Convergence of the shifted Chebyshev polynomials expansion in two-dimensions is investigated. Also the power of this manageable method is illustrated.
ISSN:0898-1221
DOI:10.1016/j.camwa.2014.06.001