A O(h sup 4) Cubic Spline Collocation Method for Quasilinear Parabolic Equations.
Abstract
A modified version of the usual cubic spline collocation method is proposed and analyzed for quasilinear parabolic problems. Continuous time estimates of order O(h sup 4) are obtained, via arguments based on certain discrete inner-products, for a uniform mesh and sufficiently smooth problems. Two types of collocation at the boundary are studied and shown to yield O(h sup 4) and O(h sup(7/2)) rates of convergence.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 11, 1974
- Accession Number
- ADA003865
Entities
People
- D. A. Archer
Organizations
- Naval Postgraduate School