Time Fractional Radon Diffusion Equation and Crank Nicholson Finite Difference Algorithm

S. Lathkara, R. Ingle

2023

Abstract

The motivation behind this paper is to study the spread of radioactive active substance Radon in the air medium. The Radon diffusion equation in air medium has been solved by applying finite difference scheme. Basic Time fractional Radon diffusion equation has been solved using Crank Nicholson method of finite difference scheme. The numerical solution is discussed for its stability and convergence. The stability of obtained solution is significantly validated for the accuracy and consistency of the solution using Mathematica. The Crank Nicholson Finite Difference Scheme is found to be the best suitable scheme after observing the estimates and errors of radon concentration and its graphical representation. The solution to the Radon diffusion equation is observed to be categorically stable and convergent.

Paper Citation

in Harvard Style

Lathkara S. and Ingle R. (2023). Time Fractional Radon Diffusion Equation and Crank Nicholson Finite Difference Algorithm. In Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT; ISBN 978-989-758-661-3, SciTePress, pages 322-328. DOI: 10.5220/0012615600003739

in Bibtex Style

@conference{ai4iot23,
author={S. Lathkara and R. Ingle},
title={Time Fractional Radon Diffusion Equation and Crank Nicholson Finite Difference Algorithm},
booktitle={Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT},
year={2023},
pages={322-328},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012615600003739},
isbn={978-989-758-661-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT
TI - Time Fractional Radon Diffusion Equation and Crank Nicholson Finite Difference Algorithm
SN - 978-989-758-661-3
AU - Lathkara S.
AU - Ingle R.
PY - 2023
SP - 322
EP - 328
DO - 10.5220/0012615600003739
PB - SciTePress