In this paper, reaction-diffusion processes described by nonlinear parabolic equations with a source term are modeled. Using a self-similar (automodel) approach, the differential equation is simplified, and an initial approximation is constructed to obtain a numerical solution. During the computation, an appropriate difference scheme is selected, and the stability and convergence properties are analyzed. The results obtained through computer simulations are presented graphically and evaluated in terms of how well they reflect the dynamics of the physical processes. The proposed approach is shown to be effective for obtaining numerical solutions to such models.

Doubly nonlinear parabolic equations, reaction–diffusion processes, numerical modeling

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