This script compares the different numerical solving methods to the analytical solution. At first, the analytical one is plotted, thereafter the numerical solutions ...

There was an error while loading. Please reload this page. This repository includes MATLAB code for solving a nonlinear differential equation using Runge Kutta 4 (RK4 ...

Abstract: The equations of motion of a maneuvering vessel under the action of wind, current, rudder and propulsion are solved by the MATLAB Runge-Kutta solver ode45. The hydrodynamic derivatives used ...

ABSTRACT: We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric ...

常微分方程式の初期値問題の数値計算において、比較的実装ロジックが単純である割に高精度である4段4次精度陽的Runge-Kutta法(RK4)が使われるケースが多い。基礎的なEuler法から始め、2～4段の陽的Runnge-Kutta法について、一般的なパラメータの条件を導出までを ...

Detail explanation of how to solve the wave equation embedded with the MathWorks matlab codes. How to solve the wave equation in 2D using the Runge-Kutta Method (Matlab Code Explained) Lateef K. on ...

Abstract: In this article, we present a derivation of a novel 4-stage fractional Runge-Kutta method (4sFRKM). Then we apply it to solve time-fractional initial values problems. This method is useful ...

本記事は”学習シリーズ”として自分の勉強備忘録用になります。 常微分方程式の解法として下記手法がありますが、今回はRunge-Kutta法を説明します。 Euler法：最もシンプルだが計算精度は低い Leap-Frog法：Euler法の時間単位を分割することで精度をあげ ...