New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation

New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation

Our goal was to find more effective numerical algorithms to solve the heat or diffusion equation. We created new five-stage algorithms by shifting the time of the odd cells in the well-known odd-even hopscotch algorithm by a half time step and applied different formulas in different stages. First, w...

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Bibliographic Details
Main Authors: Ádám Nagy, Mahmoud Saleh, Issa Omle, Humam Kareem, Endre Kovács
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematical and Computational Applications
Subjects:
odd-even hopscotch method
diffusion equation
heat equation
explicit time integration
stiff equations
unconditional stability
Online Access:https://www.mdpi.com/2297-8747/26/3/61

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https://www.mdpi.com/2297-8747/26/3/61

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