A collocation method for boundary value problems
- Cite this article as:
- Russell, R.D. & Shampine, L.F. Numer. Math. (1972) 19: 1. doi:10.1007/BF01395926
- 1.2k Downloads
Collocation with piecewise polynomial functions is developed as a method for solving two-point boundary value problems. Convergence is shown for a general class of linear problems and a rather broad class of nonlinear problems. Some computational examples are presented to illustrate the wide applicability and efficiency of the procedure.