Modeling study demonstrates numerical convergence of the Jacobi spectral method for fractional reaction–diffusion systems, indicating computational efficiency for ecological simulations.
In this paper, we study fractional reaction–diffusion equation using Jacobi spectral method. Reaction–diffusion equation is used as model for spatial effects in ecology. In this method, the reaction–diffusion equation is changed to the systems of equations. Convergence analysis for the proposed spectral method is established from theoretical as well as numerical point of view. Some numerical examples are solved using proposed numerical method showing the feasibility of the method. The efficiency of the spectral method is shown by listing CPU time of computation.
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Singh et al. (2024) studied this question.
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