Approximate solutions to more complex equations can be found using a process called iteration. Iteration means repeatedly carrying out a process. To solve an equation using iteration, start with an ...

SIAM Journal on Numerical Analysis, Vol. 30, No. 1 (Feb., 1993), pp. 286-303 (18 pages) Dynamic iteration or, more popularly, waveform relaxation has received a great deal of attention as an efficient ...

A new iterative method is presented for solving finite difference equations which approximate the steady Stokes equations. The method is an extension of successive-over-relaxation and has two ...

Abstract: The numerical solution of coupled partial differential equations (PDEs) represents a significant challenge for traditional methods such as the finite element method (FEM), particularly in ...

Abstract: The variational iteration method (VIM) is one of the well‐known semi‐analytical methods for solving linear and nonlinear ordinary as well as partial differential equations. The main ...

This repository contains a Python implementation of the Gauss-Seidel Elimination method for solving systems of linear equations. The code reads coefficients from an Excel file (`data.xls`), performs ...