Dr. Edward Boone, Professor, Department of Statistical Sciences and Operations Research, Virginia Commonwealth University presents Statistical Inference on Fractional Partial Differential Equations

Date: Thursday, October 12, 2023

Start time: 3:00 pm

End time: 4:00 pm

Location: Harris Hall room 4119

Audience: All are welcome to attend

Researchers are often confronted with connecting theoretical models with real world data. This is very common in the petroleum resources industry. Specifically, they wish to understand the pressure of gas in a porous substance. A wealth of mathematical models have been developed based on partial differential equations and have been studied extensively. These modeling efforts have been extended to using Fractional Partial Differential Equations (FPDE) to better capture various attributes of the process. The problem for researchers arises when one needs to estimate the fractional parameter. As the fractional parameter is not a parameter in the traditional statistical sense, it is the fraction of the derivative used. This work shows a Bayesian approach to solving this problem with associated simulation studies to illustrate how the method performs on a variety of cases.

Sponsor(s): SSOR

Event contact: Dr. Ya Su, suyaf@vcu.edu