Abstract
In this article, a new non-orthogonal wavelet collocation method based on Fibonacci wavelets is proposed for the solution of the time-fractional Pennes bioheat transfer model. The operational matrices of fractional-order are obtained using the block pulse functions. The obtained matrices are then utilized to convert the given time-fractional model into a system of the algebraic equations that can be solved by any classical method such as the Newton method. Nevertheless, we also investigate the effect of fractional parameter α and time t on the temperature field and show that both parameters α and t have a major impact on the temperature distribution of living tissue. The applicability and accuracy of the present method are demonstrated by some test problems whose analytic solutions are available in the literature. The numerical outcomes show that the proposed method based on Fibonacci wavelets is an efficient technique for solving time-fractional bioheat transfer model.
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