Research of the Solutions Proximity of Linearized and Nonlinear Problems of the Biogeochemical Process Dynamics in Coastal Systems

The article considers a non-stationary three-dimensional spatial mathematical model of biological kinetics and geochemical processes with nonlinear coefficients source functions. Often, the step analytical study in models this kind is skipped. purpose work to fill gap, which will allow for application numerical modeling methods biogeochemical cycles computational experiment that adequately reflects reality. For model, an initial-boundary value problem posed its linearization carried out; all desired functions, their final distributions previous time are used. As result, chain problems obtained, connected by initial–final data at each grid. To obtain inequalities guarantee convergence solutions linearized solution original problems, energy method, Gauss’s theorem, Green’s formula, Poincaré’s inequality scientific novelty lies proof norm Hilbert space L2 as τ tends zero rate O(τ).