@Article{fhmt.2023.045021,
AUTHOR = {Iqbal M. Batiha, Iqbal H. Jebril, Mohammad Zuriqat, Hamza S. Kanaan, Shaher Momani},
TITLE = {An Efficient Approach for Solving One-Dimensional Fractional Heat Conduction Equation},
JOURNAL = {Frontiers in Heat and Mass Transfer},
VOLUME = {21},
YEAR = {2023},
NUMBER = {1},
PAGES = {487--504},
URL = {http://www.techscience.com/fhmt/v21n1/54747},
ISSN = {2151-8629},
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 fractionalorder 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.},
DOI = {10.32604/fhmt.2023.045021}
}