Some finite difference methods for solving linear fractional KdV equation

AR Appadu, AS Kelil - Frontiers in Applied Mathematics and Statistics, 2023 - frontiersin.org
The time-fractional Korteweg de Vries equation can be viewed as a generalization of the
classical KdV equation. The KdV equations can be applied in modeling tsunami …

[PDF][PDF] Analytical and numerical solutions of a fractional conformable derivative of the modified Burgers' equation using the Cole-Hopf transformation

I Mous, A Laouar - CEUR Workshop Proceeding, 2020 - ceur-ws.org
In this paper, we deal with a study of modified time-fractional Burgers equations. The idea is
based on the use of a Cole-Hopf transformation which transforms the time-fractional …