GitHub

Solving Differential Equations Using Neural Networks

This Python code provides a framework for solving non-linear or linear differential equations using neural networks, specifically using the PyTorch library. Additionally, it includes a class that ...
GitHub

Neural Networks for Solving Differential Equations

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 ...
Scientific Research Publishing

Solving Ordinary Differential Equations with Evolutionary Algorithms ()

1 Department of Mathematics, Federal College of Education (Technical), Lagos, Nigeria. 2 Department of Mathematics, Lagos State University, Lagos, Nigeria. In this paper, the authors show that the ...
Frontiers

A modern analytic method to solve singular and non-singular linear and non-linear differential equations

1 Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, Jordan 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the ...
IEEE

Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations

Abstract: Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be ...
Nature

Appell Polynomials And Differential Equations

The theory of Appell polynomials has long intrigued researchers due to its elegant algebraic structure and rich connections with differential equations. At its core, an Appell sequence is ...
IEEE

Solving Fractional Non-Linear Differential Equations By Laplace Homotopy Analysis Method

Abstract: This study addresses solving fractional non-linear differential equations by the LHAM (Laplace Homotopy analysis method). We present a methodology for designing Modified Riemann-Liouville ...