On the generalized mass transport equation to the concept of variable fractional derivative

• Main Authors: Atangana, Abdon, Kilicman, Adem
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2014
• Online Access: http://psasir.upm.edu.my/id/eprint/34736/1/On%20the%20Generalized%20Mass%20Transport%20Equation%20to.pdf; http://psasir.upm.edu.my/id/eprint/34736/; http://www.hindawi.com/journals/mpe/2014/542809/abs/

The hydrodynamic dispersion equation was generalized using the concept of variational order derivative. The modified equation was numerically solved via the Crank-Nicholson scheme. The stability and convergence of the scheme in this case were presented. The numerical simulations showed that, the mod...