Constructing of linear multi-step methods for solving the Cauchy problem by the method of undetermined coefficients

The present paper proposes a scheme for constructing a wide range of linear multi-step methods for solving the Cauchy problem for ordinary differential equations using the method of undetermined coefficients. The implementation of the predictor-corrector method with arbitrary accuracy is shown.

Bibliographic Details
Main Authors: І. І. Король, І. Ю. Король
Format: Article
Language:English
Published: State University “Uzhhorod National University” 2017-12-01
Series:Науковий вісник Ужгородського університету. Серія: Математика і інформатика
Online Access:http://visnyk-math.uzhnu.edu.ua/article/view/144416