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Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

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J. Math. Comput. Sci. 12 (2022), Article ID 147

Crank-Nicolson approximation of fractional order for time fractional radon diffusion equation in soil medium

G.W. Shrimangale, S.R. Raut

PDF (182.7 KB) https://doi.org/10.28919/jmcs/7342

Abstract

The basic aim of this paper is to study the analysis for the Crank-Nicolson finite difference approximation for time fractional radon diffusion equation (TFRDE) in soil medium. The equation expresses the concentration of radon as function of space and time in soil medium. We discuss the stability and convergence of the scheme. Graphically the numerical solution of the test problem is carried out with the help of mathematical software Mathematica.

Published
29 April 2022
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2022 G.W. Shrimangale, S.R. Raut. 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

G. W. Shrimangale, S. R. Raut, Crank-Nicolson approximation of fractional order for time fractional radon diffusion equation in soil medium, J. Math. Comput. Sci. 12 (2022), 147. https://doi.org/10.28919/jmcs/7342

BibTeX
@article{Shrimangale2022,
  author  = {Shrimangale, G.W. and Raut, S.R.},
  title   = {Crank-Nicolson approximation of fractional order for time fractional radon diffusion equation in soil medium},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {147},
  doi     = {10.28919/jmcs/7342}
}