A new numerical scheme for the Fisher equation

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Abstract
In the context of the one-dimensional Fisher equation (1937) the authors study a new numerical scheme for reaction-diffusion equations (proposed by Oono and Puri (1987)). They find that this scheme enables a reasonable simulation of the Fisher equation at high values of the time increment, where conventional schemes are not applicable. For lower values of the time increment, the new scheme compares favourably with conventional schemes.