Abstract
A method is obtained for the numerical solution of the systems of diffusion, Schrodinger, and wave equations with nonlinear sources. This method, which has the second order with respect to the time step, uses the Fourier transform and does not impose fundamental restrictions on either the change from 1D media to media of larger dimensionality or the increase in the number of system equations. The method assumes simplified boundary conditions and is primarily developed for physical studies rather than for engineering calculations.
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