TY - JOUR
T1 - On an Interface Problem with a Nonlinear Jump Condition, Numerical Approximation of Solutions
JO - International Journal of Numerical Analysis and Modeling
VL - 3-4
SP - 519
EP - 530
PY - 2007
DA - 2007/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/875.html
KW - interface problem, jump condition, ion-selective electrodes.
AB - <p style="text-align: justify;">In this paper we describe a one-dimensional interface
problem for the heat equation, with a nonlinear (quadratic) jump
condition at the interface. We derive a numerical method for
approximating solutions of this nonlinear problem and provide some
results from numerical experiments. The novelty of this problem is
precisely this nonlinear (quadratic) jump condition, and it arises in
the study of polymeric ion-selective electrodes and ion sensors.</p>