B0237
Title: Uncertainty quantification for fractional partial differential equations with unknown forcing functions
Authors: Edward Boone - Virginia Commonwealth University (United States) [presenting]
Abstract: Fractional partial differential equations (FPDE) have become increasingly popular for researchers in a wide variety of fields. Often these FPDEs have forcing functions involved that model various inputs. Traditional approaches only consider standard forcing functions such as constant, linear, sinusoidal, etc. However, in reality, the forcing through time is often erratic and may have some complex dynamics associated with them. These dynamics associated with the forcing functions do not lend to easy solutions of the FPDE. One can deal with dynamics associated with forcing functions in solutions to FPDE and perform adequate uncertainty quantification. Combining MCMC techniques and a novel hybrid FPDE solver, solutions to problems concerning gas flow through porous media are considered.
