Accession Number:
ADA003865
Title:
A O(h sup 4) Cubic Spline Collocation Method for Quasilinear Parabolic Equations.
Descriptive Note:
Technical rept. Sep-Dec 74,
Corporate Author:
NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
Personal Author(s):
Report Date:
1974-12-11
Pagination or Media Count:
35.0
Abstract:
A modified version of the usual cubic spline collocation method is proposed and analyzed for quasilinear parabolic problems. Continuous time estimates of order Oh 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 Oh sup 4 and Oh sup72 rates of convergence.
Descriptors:
Subject Categories:
- Numerical Mathematics