A hybrid perturbation-Galerkin technique that combines multiple expansions. (English) Zbl 0717.65055
Some problems for second order ordinary differential equations (two-point boundary-value problem, eigenvalue problem, nonlinear free oscillation problem) are studied. A two-step hybrid method that combines perturbation and Galerkin methods is given.
Reviewer: M.Bartušek
MSC:
| 65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
| 65L15 | Numerical solution of eigenvalue problems involving ordinary differential equations |
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
| 34B05 | Linear boundary value problems for ordinary differential equations |
| 34L15 | Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators |
