An introduction to linear and partial differential equations. Standard methods of solution, applications to physical and engineering problems, linear equations with constant coefficients, basic ...
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 ...
This is a Learning Note for Ordinary Differential Equations and Linear Algebra. Everyone is welcome to improve it. For the editting notes, I recommend to use .md (Markdown) files. The greatest feature ...
In this course, you will learn about second order linear differential equations (homogeneous and nonhomogeneous), systems of ordinary differential equations, fourier series, laplace transforms and ...
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 ...
We study a new method - called Schrodingerisation introduced in [Jin, Liu, Yu, arXiv: 2212.13969] - for solving general linear partial differential equations with quantum simulation. This 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 ...
Abstract: This paper present a novel framework for the numerical solution of nonlinear differential equations using neural networks. The benefit of this method is the trial solution can be used to ...
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