This paper proposes a novel non-iterative method to solve power system differential algebraic equations (DAEs) using the differential transformation, which is a mathematical tool able to obtain power ...

High-order uncertain differential equations are used to model differentiable uncertain systems with high-order differentials, and how to solve the high-order uncertain differential equations is a core ...

Finite basis physics-informed neural networks (FBPINNs) This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis ...

There is also a finite-difference Matlab code that is useful for measuring the accuracy of your result. In this repository, there are two low-dimensional examples: the heat equation and the advection ...

The engineering landscape is shifting fast. Technologies keep evolving, and industries now want engineers who don’t just know ...

The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...

PINNs therefore represent a key solution for mathematical modeling based on first principles, enabling both the solution of differential equations (forward problem) and the identification of model ...