An Orthogonal Polynomial Kernel-Based Machine Learning Model for Differential-Algebraic Equations

no code implementations • 25 Jan 2024 • Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand

The recent introduction of the Least-Squares Support Vector Regression (LS-SVR) algorithm for solving differential and integral equations has sparked interest.

Accelerating Fractional PINNs using Operational Matrices of Derivative

no code implementations • 25 Jan 2024 • Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand

This paper presents a novel operational matrix method to accelerate the training of fractional Physics-Informed Neural Networks (fPINNs).