Mathematics Faculty Proceedings, Presentations, Speeches, Lectures
Event Name/Location
Joint Mathematics Meetings/ Seattle, WA
Event Name
Joint Mathematics Meetings
Event Location
Washington State Convention Center, Seattle WA
Document Type
Conference Presentation
Publication Date
2016
Date Range
January 6-9, 2016
Abstract
Preliminary report.
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 roundoff error) a discretized form of the energy dynamics of the system. We will present a scheme that achieves the goal of preserving the energy dissipation law and some preliminary numerical results.
NSUWorks Citation
Kabre, Julienne, "Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations" (2016). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 428.
https://nsuworks.nova.edu/cnso_math_facpres/428
ORCID ID
0000-0001-7817-4308