This repository contains a Jupyter notebook that demonstrates the solution to the Laplace equation in two dimensions using an iterative numerical method. The notebook covers the discretization of the ...

The Laplace equation is a fundamental partial differential equation with a wide range of applications in physics and engineering. It is particularly useful for modeling steady-state potential fields.

This is a preview. Log in through your library . Abstract This paper concerns the numerical analysis of the pseudospectral boundary integral method for the solution of linear boundary value problems ...

This is a preview. Log in through your library . Abstract A nonlinear boundary value problem for Laplace's equation on a polygonal domain is solved with a collocation method applied to a boundary ...

Abstract: A variational formulation of the Cauchy problem for the Laplace equation is studied. An efficient conjugate gradient method based on an optimal-order stopping criterion is presented together ...

Electromagnetic integral equations offer a powerful framework for modelling wave propagation and scattering phenomena by recasting Maxwell’s equations into formulations involving integrals over ...