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.

ORCID ID

0000-0001-7817-4308

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