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20112026
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math.NA2011

Efficient approximation of the solution of certain nonlinear reaction--diffusion equation II: the case of large absorption

Ezequiel Dratman

We study the positive stationary solutions of a standard finite-difference discretization of the semilinear heat equation with nonlinear Neumann boundary conditions. We prove that,…

math.NA2011

Efficient approximation of the solution of certain nonlinear reaction--diffusion equation I: the case of small absorption

Ezequiel Dratman

We study the positive stationary solutions of a standard finite-difference discretization of the semilinear heat equation with nonlinear Neumann boundary conditions. We prove that,…