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We continue the investigations in this paper which were considered in its first part. In particular, the problem of optimal filtration of one components of solution of nonlinear evolutionary differential equation in a Hilbert space  H  perturbing by Gaussian random process under observation of the second components of the same equation is considered. Using the results of the first part of this paper, here the algorithm for the calculation of an optimal estimate in the filtration problem is obtained.

random operators and stochastic equations

On a method for an effective calculation of optimal estimates in problems of filtration of random processes for certain nonlinear evolution differential equations in Hilbert space. Part II