In this paper, we developed and constructed the Haar wavelet (HW) for the two-dimensional (2D) time-fractional neuronal dynamics model (TFNDM) with the dynamical electro-diffusion behaviour of ions in nerve cells. The Haar wavelet method is considered in space and the difference method in time for the time-fractional Riemann–Liouville (TFRL) derivative. The calculation CPU time of this proposed method is very short because the Haar matrix and Haar integral matrix are stored only once and used for each iteration. Moreover, the results show that the solution of the Haar wavelet method is good even when there are fewer grid points.
Liu et al. (Tue,) studied this question.
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