Abstract: Accurate modeling of a thermal field is one of the fundamental requirements in engineering thermal management in numerous industries. Existing studies have shown that using differential ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

This repository provides some basic examples of using deep neural networks and feed-forward and LSTM-like neural networks to solve ordinary differential equations (ODEs), partial differential ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...

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Differential equations are equations that involve an unknown function and its derivatives with respect to one or more independent variables. They play a fundamental role in various fields of science, ...