Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Videos
Videos
Thesis submission
Thesis submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Contact us
Contact us
Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions
Download
index.pdf
Date
2013-06-01
Author
Priya, G. Sudha
Prakash, P.
Nieto, J. J.
Kayar, Z.
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
24
views
12
downloads
Cite This
In this article, we consider a higher-order numerical scheme for the fractional heat equation with Dirichlet and Neumann boundary conditions. By using a fourth-order compact finite-difference scheme for the spatial variable, we transform the fractional heat equation into a system of ordinary fractional differential equations which can be expressed in integral form. Further, the integral equation is transformed into a difference equation by a modified trapezoidal rule. Numerical results are provided to verify the accuracy and efficiency of the proposed algorithm.
Subject Keywords
Modelling and Simulation
,
Mechanics of Materials
,
Condensed Matter Physics
,
Numerical Analysis
,
Computer Science Applications
URI
https://hdl.handle.net/11511/67362
Journal
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
DOI
https://doi.org/10.1080/10407790.2013.778719
Collections
Department of Mathematics, Article
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
G. S. Priya, P. Prakash, J. J. Nieto, and Z. Kayar, “Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions,”
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
, vol. 63, no. 6, pp. 540–559, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67362.