Дослідження задачі стаціонарного католізу із лінійним розпадом методом двобічних наближень

Abstract

The paper discusses constructive methods for solving nonlinear boundary value problems for ordinary differential equations − un + k2u = f (x,u) where f(u ) is a nonnegative and continuous function for u 0. It highlights the use of the twosided iterative methods to construct two sequences that converge to the exact solution from both sides. This approach allows for a posteriori error estimate at each step of the iterative process. The effectiveness of the developed method is demonstrated through computational experiments