On numerical solution in the space of differential forms for one stochastic Sobolev-type equation with a relatively radial operator

The paper presents graphs of the trajectories of numerical solutions to the Showalter – Sidorov problem for one stochastic version of the Ginzburg – Landau equation in spaces of differential forms defined on a two-dimensional torus. We use the previously obtained transition from the deterministic version of the theory of Sobolev type equations to stochastic equations using the Nelson – Glicklikh derivative. Since the equations are studied in the space of differential forms, the operators themselves are understood in a special form, in particular, instead of the Laplace operator, we take its generalization, the Laplace – Beltrami operator. The graphs of computational experiments are given for different values of the parameters of the initial equation for the same trajectories of the stochastic process.