Amherst College - Mathematics
Doctor of Philosophy (PhD)
Mathematics
University of Massachusetts
Amherst
Bachelor of Science (BSc)
Mathematics
University of Massachusetts
Amherst
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Matlab
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Mathematics
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Applied Mathematics
Partial Differential Equations
\"A Model of Charge Transport in a Dye-Sensiztized Solar Cell\"
Renewable energy sources continue to play a crucial role in the conversation about global warming and alternate energy sources. Solar cells are widely recognized as a promising energy source
and photovoltaic solar cells (PV) are the most commonly used type of solar cell. However
dye-sensitized solar cells (DSSC) can be produced at a lower cost and have several other attributes that make them a favorable alternative to simple PV solar cells. This paper will discuss the physics behind PV and DSSC as well as the differential equations which describe the movement of charge carrier concentration called transport equations. These transport equations for a DSSC form a system of ODEs
which we reduce to one equation by making linear approximations of two of the species concentrations. Newton’s Shooting Method and Runge-Kutta are used in order to numerically solve these transport equations.
Matthew Deady
D'Ambroise
Jennie
D'Ambroise
University of Minnesota Morris
Bard College
University of Massachusetts
SUNY College at Old Westbury
Amherst College
Bard College
Assistant Professor
Assistant Professor of Mathematics
SUNY College at Old Westbury
Amherst College
Amherst
MA
Visiting Assistant Professor of Mathematics
University of Minnesota Morris
Graduate Student/Lecturer
University of Massachusetts
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