Splitting methods for parabolic problems in nonrectangular domains Original Research Article

The paper deals with studying some modifications of the local one-dimensional schemes for solving the mixed and the third boundary value parabolic problems in nonrectangular domains. To distinguish these from the usual schemes with the error estimation View the MathML source, these modifications have unconditional convergence with the error estimation O(h + τ) for the problem with the mixed boundary conditions of special type and View the MathML source for the third boundary value problem. All consideration is carried out in projection form using the spatial finite element discretization.