Husniddin Khayrullaev

1. Introduction Fisher’s equation, sometimes also called the Fisher–Kolmogorov–Petrovsky–Piskunov equation [1], includes an additional logistic reaction term in addition to the standard diffusion term: ∂ u ∂ t = α ∇ 2 u + β u 1 − u . (1) Here u is the unknown function, which usually represents the concentration. In this case, the range of u is the unit interval [0, 1]. Without the logistic term, the equation is the common heat equation, where u is the temperature, often measured in Kelvin units.