Consistency and Convergence Properties of 20 Recent and Old Numerical Schemes for the Diffusion Equation

Consistency and Convergence Properties of 20 Recent and Old Numerical Schemes for the Diffusion Equation

We collected 20 explicit and stable numerical algorithms for the one-dimensional transient diffusion equation and analytically examined their consistency and convergence properties. Most of the methods used have been constructed recently and their truncation errors are given in this paper for the fi...

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Bibliographic Details
Main Authors: Ádám Nagy, János Majár, Endre Kovács
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Algorithms
Subjects:
truncation error
diffusion
heat conduction
explicit time-integration
unconditionally stable numerical methods
Online Access:https://www.mdpi.com/1999-4893/15/11/425

Internet

https://www.mdpi.com/1999-4893/15/11/425

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