In this paper the two-point boundary value problem is transformed into general first-order ordinary differential equation system through introduction of conditions of an integral character to supplement the simultaneous set of first-order equations. A new discrete approximation of a high-order compa
A high order projection method for nonlinear two point boundary value problems
โ Scribed by Thomas R. Lucas; George W. Reddien
- Publisher
- Springer-Verlag
- Year
- 1972
- Tongue
- English
- Weight
- 711 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A fourth-order accurate finite difference method is developed for a class of fourth order nonlinear two-point boundary value problems. The method leads to a pentadiagonal scheme in the linear cases, which often arise in the beam deflection theory. The convergence of the method is tested numerically
We study a new nonlinear shooting method for solving two-point boundary value problems and show numerical experiments with various initial velocity conditions. We discuss and analyze the numerical solutions which are obtained by the shooting method.