High Accuracy Difference Formulae for the Numerical Solution of the Heat Conduction Equation

Open Access

1 August 1962

journal article
Published by Oxford University Press (OUP) in The Computer Journal

Vol. 5 (2) , 142-146
https://doi.org/10.1093/comjnl/5.2.142

Abstract

A method is given for generating systematically difference replacements of the heat condúction equation of any desired order of truncation error. The method is then used to obtain explicit and implicit formulae of high accuracy.

Keywords

NUMERICAL SOLUTION
ACCURACY DIFFERENCE FORMULAE
IMPLICIT
TRUNCATION
EXPLICIT
REPLACEMENTS
CONDÚCTION

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