Аннотация:Abstract—A case is considered in which when the solution to the boundary value problem for
a third-order singularly perturbed ordinary differential equation has a strong boundary layer. A difference scheme on piecewise uniform Shishkin meshes is used to solve the problem numerically. It is proved that the solution to the difference problem is reduced to solving the original problem uniformly in a small parameter with almost first order.
Numerical analysis fits the obtained theoretical result.