Abstract: First, the convergence conditions of Gauss - Seidel method and Jacobi method are shown. And then the iterative times of the two methods are discussed and the formula of estimate iterative ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

The author of “Moonglow” and “The Yiddish Policeman’s Union” has a method for solving, and he’s sharing it with other puzzle lovers on Threads. By Deb Amlen The first thing I learned from Michael ...

In various physics and engineering applications, evaluating the properties of partial differential equations (PDEs) is essential. Traditionally, this is done using resource-intensive, high-fidelity ...

Department of Mathematics and Applied Mathematics, Nelson Mandela University, University Way, Summerstrand, Gqeberha, South Africa The plan of this study is detailed below. Section 2 describes the ...

In this study, we applied the variational iteration method to solve the Boussinesq time equation. Bossiness’s article from 1872 introduced the equations that are now known as the Boussinesq equations.

In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.