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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE