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Numerical Simulation of Space-Time Fractional Hyperbolic Bioheat Equation using Radial basis functions and Chebyshev polynomials
  • Hitesh Bansu,
  • Sushil Kumar
Hitesh Bansu
Sardar Vallabhbhai National Institute of Technology

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Sushil Kumar
Sardar Vallabhbhai National Institute of Technology
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Abstract

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.