A New Mixed Nonpolynomial Spline Method for the Numerical Solutions of Time Fractional Bioheat Equation


In this paper, a numerical approximation for a time fractional one-dimensionalbioheat equation (transfer paradigm) of temperature distribution in tissues isintroduced. It deals with the Caputo fractional derivative with order for timefractional derivative and new mixed nonpolynomial spline for second order of spacederivative. We also analyzed the convergence and stability by employing VonNeumann method for the present scheme.