2 papers
math.NA2021
Convergence of a finite difference scheme for the Kuramoto--Sivashinsky equation defined on an expanding circle
Shunsuke Kobayashi, Shigetoshi Yazaki
This paper presents a finite difference method combined with the Crank--Nicolson scheme of the Kuramoto--Sivashinsky equation defined on an expanding circle (\cite{KUY}), and the e…
math.NA2021
A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions
Koya Sakakibara, Yusaku Shimoji, Shigetoshi Yazaki
Hele-Shaw flows with time-dependent gaps create fingering patterns, and magnetic fluids in Hele-Shaw cells create intriguing patterns.We propose a simple numerical method for Hele-…