The calculation stability of interpolation method of majorant type of solving the Cauchy problem for system of ordinary differential equations. (Ukrainian. English summary) Zbl 1164.65439
Summary: The stability of a numerical method for solving the Cauchy problem for a system of ordinary differential equations is considered. The method is based on the approximation of subintegral functions by the non-classical Newtonian majorants constructed by two points.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 65L20 | Stability and convergence of numerical methods for ordinary differential equations |
| 34A34 | Nonlinear ordinary differential equations and systems |
