This repository includes the code for the MDPI Mathematics paper Physics-Informed Neural Networks and Functional Interpolation for Solving the Matrix Differential Riccati Equation. The scripts used to generate the results are found in the Trials\Fifth_Order_Fluid_Catalytic_Reactor directory.
This code was run with MATLAB 2021a. The open source MATLAB Automatic Differentiation tool ADiGator (https://sourceforge.net/projects/adigator/) is used to compute Jacobains. This code is provided in the JacobianAndLeastSquares directory. The script startupadigator must be run prior to using it. All other codes were written by Kristofer Drozd, except for the ODE solvers in the OdeSolvers directory.
If any users need help running the code they can send an email to kdrozd@arizona.edu.
The main author for this project is Kristofer Drozd, but he would like to awknowledge Enrico Schiassi, Mario de Florio, Andrea D'Ambrosio, and Roberto Furfaro for their guidance and support.
MIT License
Copyright (c) 2023 Kristofer Drozd
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
As of this moment, this repo will not be updated in the furture.