% OUTPUT: t, w, h where w approximates y(t) and the step size h was used or a message that % teh minimum step size was exceeded. % Test Command: runge_kutta_fehlberg(f, 0, 2 , 0.5 , 0.00001, 0.25, ...
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 ...
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 character, ...
The purpose of the present work is to construct a nonlinear equation system (85 × 53) using Butcher’s Table and then by solving this system to find the values of all set parameters and finally the ...
Abstract: Linearly implicit time discretizations of semilinear parabolic equations with non-smooth initial data are studied. The analysis uses the framework of analytic semigroups which includes ...
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 ...
1 Doctoral Program of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang, Indonesia 2 Department of Mathematics, Faculty of Mathematics and Natural Sciences, ...