Accurate and computationally efficient numerical estimation of fractional differential equations using a memory time step algorithm
Abstract
Accurate and computationally e cient numerical estimation of fractional di erential equations using a memory time step algorithm Proposal for Dr. Reza Malek-Madani, O ce of Naval Researh (ONR) Prof. Gabriel A. Silva Department of Bioengineering University of California, San Diego Abstract We recently developed an adaptive time step method for computing fractional derivatives. Here, we propose to extend this work in order to develop an e cient 2nd order accurate, unconditionally stable algorithm designed to be much more robust to errors due to noise and uctuations. We anticipate that these advances will allow the application of the method to challenging real world physical and engineering systems that can be resistant to FDE theoretical analyses and prediction.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Aug 12, 2016
- Source ID
- N000141512779
Entities
People
- Gabriel A. Silva
Organizations
- Office of Naval Research
- United States Navy
- University of California, San Diego