Skip to main content
Article thumbnail
Location of Repository

Arbitrary-order numerical schemes for model parabolic equation

By Jian Shi

Abstract

This report investigates the general theory and methodology of high order numerical schemes for one-dimensional model parabolic equation. The Universal Formula from which a 2-level explicit arbitrary-order numerical methods for diffusion equation can be derived is developed. Using the Universal Formula some high order numerical methods are constructed. Some important features of numerical methods are revealed through the construction of high order numerical methods and stability analysis. Subject to the limitation of diffusion number, d, being positive, only the method that satisfies positive stable region is relevant.CI

Year: 1992
OAI identifier: oai:dspace.lib.cranfield.ac.uk:1826/190
Provided by: Cranfield CERES

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.