Solving the time-fractional diffusion equation via Sinc–Haar collocation method

A. Pirkhedri and H.H.S. Javadi

Applied Mathematics and Computation, 2015, vol. 257, issue C, 317-326

Abstract: The present study investigates the Sinc–Haar collocation method for the solution of the time-fractional diffusion equation. The advantages of this technique are that not only the convergence rate of Sinc approximation is exponential but the computational speed also is high due to the use of the Haar operational matrices. This technique is used to convert the problem to the solution of linear algebraic equations via expanding the required approximation based on the elements of Sinc functions in space and Haar functions in time with unknown coefficients. The effectiveness of the proposed method is examined by comparing the numerical results with the exact solutions.

Keywords: Collocation method; Sinc functions; Haar functions; Time-fractional; Diffusion equation (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314017718
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:317-326

DOI: 10.1016/j.amc.2014.12.110

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().