The Numerical Solutions of 2D Time-Space Fractional Bioheat Problem by Using Fractional Quadratic Spline Method

Ammar Muslim Abd-alhussein; Hameeda Oda Al-Humedi

The Numerical Solutions of 2D Time-Space Fractional Bioheat Problem by Using Fractional Quadratic Spline Method

Authors

Ammar Muslim Abd-alhussein Department of Mathematics, Open Educational College in Basra, Basra, Iraq Author
Hameeda Oda Al-Humedi Department of Mathematics, College of Education for Pure Science, Basra University, Basrah, Iraq Author

Keywords:

2D Time-Space fractional bioheat equations, Caputo fractional derivative, Fractional Quadratic Spline method, Stability, Truncation Error.

Abstract

In this article, a time-space fractional two-dimensional bioheat transfer model of temperature distribution in tissue has been solved Caputo fractional derivative for time-fractional derivative with