Solution of fractional bioheat equations by finite difference method and HPM

Abstract

In this paper, we present a mathematical model of space-time fractional bioheat equation governing the process of heat transfer in tissues during thermal therapy. Using fractional backward finite difference scheme, the problem is converted into an initial value problem of vector-matrix form and homotopy perturbation method is used to solve it. Results are interpreted in the form of standard case and anomalous cases for taking different orders of space and time fractional derivatives. © 2011 Elsevier Ltd.