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A simple explicit and unconditionally stable numerical routine for the solution of the diffusion equation

โœ Scribed by Peter B. Johns

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
837 KB
Volume
11
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

Abstract

This paper describes a simple explicit and unconditionally stable numerical routine for the solution of the diffusion equation using a transmissionโ€line modelling (TLM) method. The paper also shows that the explicit finite difference routine and the implicit Crankโ€“Nicolson routine may be expressed as the exact solution of certain transmissionโ€line models. Using these models a technique for comparing the accuracy and stability of numerical routines is developed and a detailed comparison of the new TLM methods and the well established methods is made.

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