caa a22 4500 378855824 CHVBK 20180305123334.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0019 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0019 Kutniv Myrosalv V. Lviv Polytechnical National University, 12 St. Bandery Str., 79013 Lviv, Ukraine. Modified Three-point Difference Schemes of High-accuracy Order for Second Order Nonlinear Ordinary Differential Equations [Elektronische Daten] [Myrosalv V. Kutniv] This work discusses issues on the design and analysis of three-point difference schemes for the nonlinear boundary-value problem. A new effective implementation of an exact three-point difference schemes on irregular grids in terms of homogeneous three-point difference schemes of a high-accuracy order is proposed. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. nonlinear boundary-value problem nationallicence three-point difference scheme nationallicence linearization method and the principle of contraction mapping nationallicence Computational Methods in Applied Mathematics De Gruyter 3/2(2003), 287-312 1609-4840 3:2<287 2003 3 cmam https://doi.org/10.2478/cmam-2003-0019 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0019 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kutniv Myrosalv V. Lviv Polytechnical National University, 12 St. Bandery Str., 79013 Lviv, Ukraine NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/2(2003), 287-312 1609-4840 3:2<287 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter