Solving two point boundary value problems by interpolatory subdivision algorithms

Abstract

Smooth interpolatory subdivision algorithms for the generation of curves are used to solve two point boundary value problems. A method of collocation is formulated for linear second order two point boundary value problems. It is proved that the algorithms produce smooth continuous solutions provided the algorithms are chosen appropriately. Error estimates for uniform partitions are also investigated. Finally, some numerical examples are given to show the convergence of the algorithms.

Keywords:

• Boundary value problems
• Approximation
• Method of collocation
• Interpolation
• Subdivision algorithm

C.R.Categories:

• G.1.7
• G.1.2