A numerical method of solution of the static problem for a finite elastic cylindrical shell with general mixed boundary conditions is presented. The existence and uniqueness of the solution of the problem considered is proved first. Then the differential governing equations are discretized by means of the stable and convergent difference schemes. The resultant algebraic equations are solved by an iterative technique requiring the smallest number of arithmetic operations. No particular case is computed.
The considerations in the paper have a more general character and may be useful in solving the elliptic partial differential equations with mixed boundary conditions by a finite difference technique.
(MR0446039)
