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In this paper, a collocation approach for the fractional Newell-Whitehead-Segel equation is described. The finite difference method is used to discretized the time-fractional derivative, and Chebyshev functions are used for interpolating the spatial derivatives. An a priori error estimate is derived. The stability of the suggested approach is presented. Several numerical examples are provided to show the viability and effectiveness of the suggested approach.
Gebril et al. (Mon,) studied this question.