Fractional order explicit finite difference scheme for time fractional radon diffusion equation in charcoal medium
Abstract
In this paper, we introduce the fractional order radon diffusion equation and develop explicit finite difference scheme for time fractional radon diffusion equation (TFRDE). Also, we discuss the stability and convergence of the scheme, as an application of this scheme, we obtain the numerical solutions of the test problem and it represented graphically.
Copyright © 2021 Sunil Dattatray Sadegaonkar, Rajkumar Namdevrao Ingle. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. D. Sadegaonkar, R. N. Ingle, Fractional order explicit finite difference scheme for time fractional radon diffusion equation in charcoal medium, J. Math. Comput. Sci. 11 (2021), 1223–1241. https://doi.org/10.28919/jmcs/5318
BibTeX
@article{Sadegaonkar2021,
author = {Sadegaonkar, Sunil Dattatray and Ingle, Rajkumar Namdevrao},
title = {Fractional order explicit finite difference scheme for time fractional radon diffusion equation in charcoal medium},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {1223--1241},
doi = {10.28919/jmcs/5318}
}