GitHub

Improved-Euler-Method-ODE-Solver

A MATLAB project to create a custom ODE solver using the Improved Euler (Heun) method and compare its results with MATLAB's built-in ode45. Includes exercises on ...
Scientific Research Publishing

A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods ()

This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods are quite ...
GitHub

1D Finite Element Method (FEM) Solver - Euler Equations - 1D Sod Shock Tube Problem

This project employs a one-dimensional Finite Element Method (FEM) solver in Python. It uses the Galerkin method with 1D Lagrange basis functions and 2nd order Gaussian Quadrature for numerical ...
Scientific Research Publishing

Akanbi, M.A. (2010) Propagation of Errors in Euler Method, Scholars Research Library. Archives of Applied Science Research, 2, 457-469.

ABSTRACT: This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods ...
Oak Ridge National Lab

High Order Structure Preserving Numerical Methods for Euler Equations with Gravitation

Hydrodynamical evolution in a gravitational field arises in many astrophysical and atmospheric problems. In this presentation, we will talk about arbitrary order structure preserving discontinuous ...