This paper represents the results of the mathematical modeling of the chemical flood process in oil reservoirs. The mathematical model of a problem resulted in solution of the differential equations in private derivatives with initial boundary conditions. In non-uniform net area the problem is replaced with a discrete problem by means of combination of obvious and implicit-difference schemes increasing accuracy order and is solved by double-sweep method. The effective decision algorithms of one-dimensional problem as adsorption and convectional diffusion equations are obtained.

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