2 papers
math.NA2025
Accuracy and stability of the hyperbolic model time integration scheme revisited
Mikhail A. Botchev
The hyperbolic model (HM) time integration scheme tackles parabolic problems by adding a small artificial second order time derivative term. Described by Samarskii in his 1971 book…
math.NA2024
Efficient and stable time integration of Cahn-Hilliard equations: explicit, implicit and explicit iterative schemes
M. A. Botchev, I. A. Fahurdinov, E. B. Savenkov
To solve the Cahn-Hilliard equation numerically, a new time integration algorithm is proposed, which is based on a combination of the Eyre splitting and the local iteration modifie…