Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...
Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...
Abstract: In this paper we describe a class of cryptographic guess-and-determine attacks which is based on the notion of a linearizing set. A linearizing set-based ...
The PV Fault Detection System is an advanced real-time simulation and monitoring solution for photovoltaic panels in microgrids. This project combines Digital Twin technology with ...
A comprehensive PyTorch framework for solving differential equations with neural networks. Covers ODEs (pendulum, orbital mechanics, three-body problem), PDEs (heat and wave equations), inverse ...
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