The University of Arizona

Discrete Exterior Calculus in Solving Fractional Differential Equations

Discrete Exterior Calculus in Solving Fractional Differential Equations

Series: Modeling and Computation Seminar
Location: Math 402
Presenter: Justin Crum, Program in Applied Mathematics, University of Arizona

In modeling natural occurrences, we often concede that we are close enough to reality.  However in certain cases, integer-ordered differential equations actually fail to correctly simulate what we expect to physically occur.  Some instances of this include groundwater flow, computer simulations of how cloth moves about underwater, and even the electric current in hearts affected by ischaemia.  In this talk, we will discuss three main points—these motivating examples, fundamentals of fractional differential equations (FDE’s) in space, and Discrete Exterior Calculus (DEC), the method which we would like to apply to solving these equations. 

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