On the two new approaches for construction of the high order of accuracy difference schemes for the second order differential equations. (English) Zbl 1053.65054
The authors construct high-order two-step difference schemes for the approximate solution of initial-value and boundary-value problems for linear second-order ordinary differential equations. The derivation employs techniques based on Taylor’s formula and Padé approximants. There are no numerical examples.
Reviewer: Hermann Brunner (St. John’s)
MSC:
| 65L12 | Finite difference and finite volume methods for ordinary differential equations |
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
| 65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
| 34B05 | Linear boundary value problems for ordinary differential equations |
