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Volume 4, Issue 3-4
On an Interface Problem with a Nonlinear Jump Condition, Numerical Approximation of Solutions

G. Hetzer & A. J. Meir

Int. J. Numer. Anal. Mod., 4 (2007), pp. 519-530.

Published online: 2007-04

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  • Abstract

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.

  • Keywords

interface problem, jump condition, ion-selective electrodes.

  • AMS Subject Headings

35K55, 35K60, 35Q80, 35R05, 65M60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-4-519, author = {G. Hetzer and A. J. Meir}, title = {On an Interface Problem with a Nonlinear Jump Condition, Numerical Approximation of Solutions}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {3-4}, pages = {519--530}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/875.html} }
TY - JOUR T1 - On an Interface Problem with a Nonlinear Jump Condition, Numerical Approximation of Solutions AU - G. Hetzer & A. J. Meir 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 -

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.

G. Hetzer and A. J. Meir. (2007). On an Interface Problem with a Nonlinear Jump Condition, Numerical Approximation of Solutions. International Journal of Numerical Analysis and Modeling. 4 (3-4). 519-530. doi:
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