Gnativ L. Three-point difference schemes of high-accuracy order for systems of second order nonlinear ordinary differential equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U001155

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

22-02-2007

Specialized Academic Board

К 35.051.07

Essay

For a second order ordinary differential equation and their systems with the boundary conditions of the first kind to constract an exact three-point difference schemes (ETDS). The existence and unique solution this ETDS is proved, as well as is proved the iterative method of successive approximations for its solution. The algorithmic implementation ETDS in term three-point difference schemes (TDS) is developed.

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