Solution of Variable-Order Space Fractional Bioheat Equation by Chebyshev Collocation Method

Abstract

This study presents the mathematical model of space fractional variable-order bioheat equation and proposes a numerical method to find its solution. We use the Chebyshev collocation method, which converts the differential equation into a set of algebraic equations, and then we solve it for unknowns. The effect of temperature distribution within living biological tissue has been studied. The results of the temperature profile in the case of variable-order are demonstrated graphically. An investigation of different types of fractional-orders on maximum temperature is also presented. In the end, the comparison between various types of fractional-order shows the usefulness of variable-order over other cases.