Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations

Reaction-diffusion equations (35K57) Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Heat equation (35K05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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