Investigation of accuracy of numerical solution of the one-way Helmholtz equation by method of computational experiment

The question of investigating the convergence of the finite-difference scheme for one-way Helmholtz equation is considered. The main attention is paid to the evaluation of the speed of convergence of the numerical solutions in a uniform and standard norms for linear as well as nonlinear variant of the Helmholtz equation that takes into account the self-influence effect. The calculations were performed on a supercomputer Sergey Korolev using specially developed parallel algorithms.