Abstract: This paper aims to discuss the numerical solutions of second-order derivative and Caputo fractional derivative for the fractional time bioheat equation of temperature distribution in tissue for different values of fractional order $\alpha$ based on the nonpolynomial spline and exponential spline methods which are simple, easy to apply and effective. We discussed the stability by using Von Neumann method which proved that these schemes are unconditionally stable.
Keywords: Fractional Bioheat Equations, Caputo fractional derivative, Nonpolynomial spline, Exponential spline, Stability.
How to cite this article:
Hameeda O. Al-Humedi and Ammar M. Abdulhussein, Spline Methods For Solving Time Fractional Bioheat Equation, International Journal of Advances in Mathematics, Volume 2019, Number 6, Pages 16-25, 2019.