Department of Mathematics and Computer Sciences, Marist College, Poughkeepsie, NY, USA. This equation arises in many fields of mathematics and physics. It has applications in random processes, optimal ...

A computational revolution unleashed the power of artificial neural networks. At the heart of that revolution is automatic differentiation, which calculates the derivative of a performance measure ...

ABSTRACT: A transformation way of the Navier-Stokes differential equation was presented. The obtained result is the Cauchy momentum equation. The transformation was performed using a novel shorten ...

This project was undertaken as a dissertation for a Master's programme in Mathematics at Durham University (Oct. 2022 - Apr. 2023), where it attained a final grade of 85%. The report will be ...

Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...

Maths Differential Equations Formulas: Calculus comprises a major part of the curriculum of the CBSE Class 12 mathematics course. Several chapters from books 1 and 2 of the NCERT math book cover ...