An Approximate Analytical Solution of the Fractional Diffusion Equation with External Force and Different Type of Absorbent Term - Revisited

Authors

S. Das, Banaras Hindu University
R. Kumar, Banaras Hindu University
P. K. Gupta, Banaras Hindu University

Abstract

In this article Homotopy Perturbation Method (HPM) is applied to obtain an approximate analytical solution of a fractional diffusion equation with an external force and a reaction term different from the reaction term used by Das and Gupta (2010). The anomalous behavior of diffusivity in presence or absence of linear external force due to the presence of this force of reaction term are obtained and presented graphically.

Recommended Citation

Das, S.; Kumar, R.; and Gupta, P. K. (2010). An Approximate Analytical Solution of the Fractional Diffusion Equation with External Force and Different Type of Absorbent Term - Revisited, Applications and Applied Mathematics: An International Journal (AAM), Vol. 5, Iss. 3, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss3/9