Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation

Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation

In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 10<sup>5</sup> different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests. We demonstrate the performance of these top fiv...

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Bibliographic Details
Main Authors: Ádám Nagy, Issa Omle, Humam Kareem, Endre Kovács, Imre Ferenc Barna, Gabriella Bognar
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Computation
Subjects:
odd-even hopscotch method
diffusion equation
heat equation
explicit time-integration
stiff equations
unconditional stability
Online Access:https://www.mdpi.com/2079-3197/9/8/92

Internet

https://www.mdpi.com/2079-3197/9/8/92

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