A Discretization Approach for the Nonlinear Fractional Logistic Equation

Simple item page
dc.contributor.authorIzadi, Mohammad
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2021-02-05T23:31:55Z
dc.date.available2021-02-05T23:31:55Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractThe present study aimed to develop and investigate the local discontinuous Galerkin method for the numerical solution of the fractional logistic differential equation, occurring in many biological and social science phenomena. The fractional derivative is described in the sense of Liouville-Caputo. Using the upwind numerical fluxes, the numerical stability of the method is proved in the L∞ norm. With the aid of the shifted Legendre polynomials, the weak form is reduced into a system of the algebraic equations to be solved in each subinterval. Furthermore, to handle the nonlinear term, the technique of product approximation is utilized. The utility of the present discretization technique and some well-known standard schemes is checked through numerical calculations on a range of linear and nonlinear problems with analytical solutions.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationIzadi, M., & Srivastava, H. M. (2020). A Discretization Approach for the Nonlinear Fractional Logistic Equation. Entropy, 22(11), 1-17. https://doi.org/10.3390/e22111328.en_US
dc.identifier.urihttps://doi.org/10.3390/e22111328
dc.identifier.urihttp://hdl.handle.net/1828/12655
dc.language.isoenen_US
dc.publisherEntropyen_US
dc.subjectlogistic differential equation
dc.subjectliouville-caputo fractional derivative
dc.subjectlocal discontinuous galerkin methods
dc.subjectstability estimate
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA Discretization Approach for the Nonlinear Fractional Logistic Equationen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Izadi_Mohammad_Entropy_2020.pdf
Size:
1.2 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.