2017
Том 69
№ 6

All Issues

Realization of exact three-point difference schemes for nonlinear boundary-value problems on the semiaxis

Król M., Kutniv M. V.


Abstract

New algorithmic realization of exact three-point difference schemes via the three-point difference schemes of high order of accuracy is proposed for the numerical solution of boundary-value problems for systems of nonlinear ordinary differential equations on the semiaxis. We study the existence and uniqueness of the solution of three-point difference schemes and estimatie the rate of convergence. The results of numerical experiments are also presented.

Citation Example: Król M., Kutniv M. V. Realization of exact three-point difference schemes for nonlinear boundary-value problems on the semiaxis // Ukr. Mat. Zh. - 2016. - 68, № 12. - pp. 1641-1656.