In this article, we propose a new numerical method for determining a moving boundary from
Cauchy data in a one-dimensional heat equation where an initial temperature is not …

In this paper, we propose a regularization method for determining a moving boundary from
Cauchy data in one-dimensional heat equation with a multilayer domain. The numerical …

Abstract The Hodgkin-Huxley (HH) landmark model is described by a system of four
nonlinear differential equations that describes how action potentials in neurons are initiated …

In this paper, we give a uniqueness theorem for the moving boundary of a heat problem in a
composite medium. Through solving the Cauchy problem of heat equation in each …

Abstract The derivation by Alan Hodgkin and Andrew Huxley of their famous neuronal
conductance model relied on experimental data gathered using the squid giant axon …

In the baseline read-out scheme of the ATLAS liquid argon calorimeter, approximately 1500
unidirectional Gigavit/s (Gb/s) optical links are used to transfer data from teh calorimeter to …

Structural Health Monitoring techniques come up against dominant environmental effects
due to ambient temperature variations. Real time temperature data assimilation is crucial for …

Consider the shape identification of an inclusion in heat conductive medium from the time
average measurement, which is modeled by an initial boundary value problem for a …

This paper presents a numerical method for solving a problem usually encountered in
thermal imaging. The goal is to estimate an interior boundary of a material by applying a …

In this paper, we propose a new numerical method for determining a moving boundary from
Cauchy data in one dimensional heat equation. The numerical scheme is based on the use …