Mathematics Faculty Proceedings, Presentations, Speeches, Lectures
Title
Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations
Event Name/Location
Midwest Numerical Analysis Day 2016 (MWNADay 2016) / University of Lacrosse, Wisconsin
Event Name
Midwest Numerical Analysis Day 2016 (MWNADay 2016)
Event Location
University of Lacrosse, Wisconsin
Document Type
Conference Presentation
Publication Date
2016
Date Range
April 23, 2016
Abstract
The Poisson-Nernst-Planck equations are a system of nonlinear partial differential equations that describe flow of charged particles in solution. In particular, we are interested in the transport of ions in the biological membrane proteins (ion channels). This work is about the design of numerical schemes that preserve exactly (up to round off error) a discretized form of the energy dynamics of the system. We will present a scheme that achieves the conservation of energy law, and the numerical results.
NSUWorks Citation
Kabre, Julienne, "Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations" (2016). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 429.
https://nsuworks.nova.edu/cnso_math_facpres/429
ORCID ID
0000-0001-7817-4308
COinS