Application of one-dimensional optimal grids to two-dimensional singularly perturbed problems. (Q1569363)

This paper deals with a new decomposition method for solving boundary value problems on the bending of latticed plates of various types with the general boundary conditions on the contour. This method reduces the problem to one-dimensional integral equations, which can be solved by the grid method. The one-valued solvability of the problem is proved, and the stability of the decomposition problem and the approximate problem is investigated.