Differential equations are fundamental in modeling dynamic systems in physics, biology, and engineering. However, analytical solutions are often difficult or impossible to obtain for complex problems.

This repository contains a Python project focused on image denoising using various numerical methods for solving partial differential equations (PDEs). The project leverages the Perona-Malik ...

A new method, combining complex analysis with numerics, is introduced for solving a large class of linear partial differential equations (PDEs). This includes any linear constant coefficient PDE, as ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

This is a preview. Log in through your library . Abstract The paper deals with a numerical method for solving nonlinear integro-parabolic problems of Fredholm type. A monotone iterative method, based ...

A mathematician has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate methods are highly efficient for large systems, where some components ...