A class Hermite pseudospectral approximate with \(\omega (x) \equiv 1\) and application to reaction-diffusion equation (Q993674)

As a continuation of a previous paper by the author, Hermite function system with \(\omega(x)\equiv 1\) is introduced, and the theoretical results of its pseudospectral approximation are given. Hermite pseudospectral method for a class of nonlinear reaction-diffusion equations is discussed, and the existence of the global attractor generated by the Hermite pseudospectral method is proven. The error of the approximate solution is estimated.