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Comparison of numerical solutions of a one-dimensional non-linear heat equation

โœ Scribed by Burger, J. ;Machbub, C.

Publisher
Wiley (John Wiley & Sons)
Year
1991
Tongue
English
Weight
290 KB
Volume
7
Category
Article
ISSN
0748-8025

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โœฆ Synopsis

Abstract

The aim of this communication is to compare different algorithms for the solution of the 1โ€D nonโ€linear heat equation. A standard finiteโ€element method is implemented for the space discretization which transforms the initial problem into a nonโ€linear ordinary differential system. This new system is then solved by means of seven classical algorithms included in the ACSL software (advanced continuous simulation language). Three test cases are considered, and results are compared with available analytical solutions.

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