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 ...

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 ...

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 ...

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 ...

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 ...

In this paper, we presented an asymptotic fitted approach to solve singularly perturbed delay differential equations of second order with left and right boundary. In this approach, the singularly ...

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 ...