An improved meshless algorithm for a kind of fractional cable problem with error estimate

Elyas Shivanian and Ahmad Jafarabadi

Chaos, Solitons & Fractals, 2018, vol. 110, issue C, 138-151

Abstract: The present paper is devoted to the development of a kind of spectral meshless radial point interpolation (SMRPI) technique for solving fractional cable equation in one and two dimensional cases. The time fractional derivative is described in the Riemann–Liouville sense. The applied approach is based on a combination of meshless methods and spectral collocation techniques. The point interpolation method with the help of radial basis functions is used to construct shape functions which act as basis functions in the frame of SMRPI. It is proved the scheme is unconditional stable with respect to the time variable in H1 and convergent by the order of convergence O(δtγ), 0 < γ < 1. In the current work, the thin plate splines (TPS) are used as the basis functions. The results of numerical experiments are compared with analytical solution to confirm the accuracy and efficiency of the presented scheme.

Keywords: Fractional cable equation; Spectral meshless radial point interpolation (SMRPI) method; Radial basis function; Finite difference scheme (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077918301097
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:chsofr:v:110:y:2018:i:c:p:138-151

DOI: 10.1016/j.chaos.2018.03.013

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().