Pazdriy O. Three-point difference schemes of high-accuracy order for second-order nonlinear ordinary differential equations on the semiaxis

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U002401

Thesis Registration Form

0414U002401.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

05-06-2014

Specialized Academic Board

К 35.051.07

Essay

For numerical solution of the boundary value problems for the second order nonlinear ordinary differential equations and their systems exact three-point difference schemes are constructed. The effective implementation of the exact difference schemes in terms of truncated three-point difference schemes of arbitrary given accuracy order is developed. For three-point difference schemes the existence and uniqueness of solution are proved and the estimations of accuracy are given. The convergence of iteration method for its numerical solution is proved.

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