Solution of the mixed boundary problem for the Poisson equation on two-dimensional irregular domains

Objectives . A finite-difference computational algorithm is proposed for solving a mixed boundary-value problem the Poisson equation given in two-dimensional irregular domains. Methods To solve problem, generalized curvilinear coordinates are used. The physical domain mapped to (unit square) space of coordinates. original written and approximated on uniform grid domain.The obtained results non-uniform boundary-fitted difference domain. Results second order approximations Neumann-Dirichlet boundary conditions coordinate constructed. increase Neumann condition approximations, an approximation Conclusions value domains, second-order accuracy numerical experiments, which confirm algorithm, presented.