An efficient method for solving fractional Sturm-Liouville problems

Qasem M. Al-Mdallal

doi:10.1016/j.chaos.2007.07.041

An efficient method for solving fractional Sturm-Liouville problems

Qasem M. Al-Mdallal

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

93 Citations (Scopus)

Abstract

The numerical approximation of the eigenvalues and the eigenfunctions of the fractional Sturm-Liouville problems, in which the second order derivative is replaced by a fractional derivative, is considered. The present results can be implemented on the numerical solution of the fractional diffusion-wave equation. The results show the simplicity and efficiency of the numerical method.

Original language	English
Pages (from-to)	183-189
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	40
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2007.07.041
Publication status	Published - Apr 15 2009

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

Access to Document

10.1016/j.chaos.2007.07.041

Cite this

@article{8defb0083f31445da26901f36fd152a0,

title = "An efficient method for solving fractional Sturm-Liouville problems",

abstract = "The numerical approximation of the eigenvalues and the eigenfunctions of the fractional Sturm-Liouville problems, in which the second order derivative is replaced by a fractional derivative, is considered. The present results can be implemented on the numerical solution of the fractional diffusion-wave equation. The results show the simplicity and efficiency of the numerical method.",

author = "Al-Mdallal, {Qasem M.}",

year = "2009",

month = apr,

day = "15",

doi = "10.1016/j.chaos.2007.07.041",

language = "English",

volume = "40",

pages = "183--189",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd",

number = "1",

}

TY - JOUR

T1 - An efficient method for solving fractional Sturm-Liouville problems

AU - Al-Mdallal, Qasem M.

PY - 2009/4/15

Y1 - 2009/4/15

N2 - The numerical approximation of the eigenvalues and the eigenfunctions of the fractional Sturm-Liouville problems, in which the second order derivative is replaced by a fractional derivative, is considered. The present results can be implemented on the numerical solution of the fractional diffusion-wave equation. The results show the simplicity and efficiency of the numerical method.

AB - The numerical approximation of the eigenvalues and the eigenfunctions of the fractional Sturm-Liouville problems, in which the second order derivative is replaced by a fractional derivative, is considered. The present results can be implemented on the numerical solution of the fractional diffusion-wave equation. The results show the simplicity and efficiency of the numerical method.

UR - http://www.scopus.com/inward/record.url?scp=64549120203&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=64549120203&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2007.07.041

DO - 10.1016/j.chaos.2007.07.041

M3 - Article

AN - SCOPUS:64549120203

SN - 0960-0779

VL - 40

SP - 183

EP - 189

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

ER -

An efficient method for solving fractional Sturm-Liouville problems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this