Rate of convergence bound of difference schemes for quasilinear elliptical equations with solutions inW 2 1

We consider a mixed boundary-value problem for a quasilinear elliptical equation of second order in the rectangle with a generalized solution in W ₁ ² (). Exact difference scheme operators are applied to construct a first-order accurate difference scheme in the L₂ grid norm.Kiev Technological Institute of Light Industry. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 50–55, 1991.