From the 1 of 5 linked papers with an AI index.
5 papers
Diffusive method for multiple class data classification
Toyohiko Aiki, Honoka Yano, Takeshi Ohtsuka
The paper introduces a classification algorithm that uses the rapid propagation of heat equation solutions on training data, deciding class labels by the sign of differences betwee…
On behavior of free boundaries to generalized two-phase Stefan problems for parabolic partial differential equation systems
Toyohiko Aiki, Hana Kakiuchi
Recently, we have proposed a new free boundary problem representing the bread baking process in a hot oven. Unknown functions in this problem are the position of the evaporation fr…
An initial-boundary value problem describing moisture transport in porous media: existence of strong solutions and an error estimate for a finite volume scheme
Akiko Morimura, Toyohiko Aiki
We consider an initial-boundary value problem motivated by a mathematical model of moisture transport in porous media. We establish the existence of strong solutions and provide an…
New approach for elastic collisions with singular stress functions
Toyohiko Aiki, Chiharu Kosugi
A collision of a rubber rod to a hard floor is regarded as a simple example of obstacle problems for elastic material. In this article we have proposed a new mathematical model for…
Convergence of approximate solutions constructed by the finite volume method for the moisture transport model in porous media
Akiko Morimura, Toyohiko Aiki
We consider the initial-boundary value problem for a nonlinear parabolic equation in the one-dimensional interval. This problem is motivated by a mathematical model for moisture tr…