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

  • M. Król
  • M. V. Kutniv

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.
Published
25.12.2016
How to Cite
KrólM., and KutnivM. V. “Realization of Exact Three-Point Difference Schemes for nonlinear boundary-Value Problems on the Semiaxis”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 12, Dec. 2016, pp. 1641-56, http://umj.imath.kiev.ua/index.php/umj/article/view/1950.
Section
Research articles