A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
Xiao-Jun Yang,
J.A. Tenreiro Machado and
H.M. Srivastava
Applied Mathematics and Computation, 2016, vol. 274, issue C, 143-151
Abstract:
In this article, we first propose a new numerical technique based upon a certain two-dimensional extended differential transform via local fractional derivatives and derive its associated basic theorems and properties. One example of testing the local fractional diffusion equation is then considered. The numerical result presented here illustrates the efficiency and accuracy of the proposed computational technique in order to solve the partial differential equations involving local fractional derivatives.
Keywords: Numerical solution; Extended differential transform method; Diffusion equation; Local fractional derivatives; Partial differential equations (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630031501423X
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:274:y:2016:i:c:p:143-151
DOI: 10.1016/j.amc.2015.10.072
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 ().