A new fractional finite volume method for solving the fractional diffusion equation

• Published in: Applied mathematical modelling Vol. 38; no. 15-16; pp. 3871 - 3878
• Main Authors: Liu, F., Zhuang, P., Turner, I., Burrage, K., Anh, V.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.08.2014
• Subjects: Coefficients; Dependent variables; Diffusion; Dirichlet problem; Finite volume method; Fractional diffusion equation; Mathematical analysis; Mathematical models; Nonlinear source term; Space–time dependent variable coefficient; Three dimensional; Two-sided space fractional derivative; Finite volume method; Fractional diffusion equation; Two-sided space fractional derivative; Nonlinear source term; Space–time dependent variable coefficient

The inherent heterogeneities of many geophysical systems often gives rise to fast and slow pathways to water and chemical movement. One approach to model solute transport through such media is by fractional diffusion equations with a space–time dependent variable coefficient. In this paper, a two-si...