@article{Batiha2023, 
author = {Iqbal M. Batiha and Iqbal H. Jebril and Mohammad Zuriqat and Hamza S. Kanaan and Shaher Momani},
title = {An Efficient Approach for Solving One-Dimensional Fractional Heat Conduction Equation},
year = {2023},
journal = {Frontiers in Heat and Mass Transfer},
volume = {21},
number = {1},
pages = {487-504},
keywords = {Heat conduction equation, fractional difference formula, modified three-points fractional formula},
url = {https://www.sciopen.com/article/10.32604/fhmt.2023.045021},
doi = {10.32604/fhmt.2023.045021},
abstract = {Several researchers have dealt with the one-dimensional fractional heat conduction equation in the last decades, but as far as we know, no one has investigated such a problem from the perspective of developing suitable fractional-order methods. This has actually motivated us to address this problem by the way of establishing a proper fractional approach that involves employing a combination of a novel fractional difference formula to approximate the Caputo differentiator of order  α coupled with the modified three-point fractional formula to approximate the Caputo differentiator of order  2α, where  0<α≤1. As a result, the fractional heat conduction equation is then reexpressed numerically using the aforementioned formulas, and by dividing the considered mesh into multiple nodes, a system is generated and algebraically solved with the aid of MATLAB. This would allow us to obtain the desired approximate solution for the problem at hand.}
}