Numerical Simulation of Space-Time Fractional Hyperbolic Bioheat
Equation using Radial basis functions and Chebyshev polynomials
The current study is devoted to finding the numerical solution of space
and time-fractional hyperbolic Pennes bioheat equation (HPBE). The
generalised Caputo fractional derivative is used to get space and
time-fractional HPBE. A technique of collocation has been introduced for
numerical solution. In this technique, discretizations for space and
time are not depending on each other. Hence, we have used a fusion of
two different basis functions, namely radial basis functions and
Chebyshev polynomials, obtained with the aid of the Kronecker product.
We have examined the behavior of the heat transfer process for the
fractional rate of change in the parabolic as well as the hyperbolic
Pennes bioheat model.