Graphical Comparison on Numerical Solutions of Initial Value Problem by Using Euler’s Method, Modified Euler’s Method and Runge-Kutta Method

Autor: Muhammad Imran, Shahzad Rashid, Yasir Ali, Najma Najma, Murat Cancan
Rok vydání: 2022
Zdroj: International Journal of Research Publication and Reviews. :1930-1957
ISSN: 2582-7421
DOI: 10.55248/gengpi.2022.3.10.62
Popis: In this paper, discussion is made on the numerical solutions of ordinary differential equations of first order along with initial value problems by using Euler’s Method, Modified Euler’s Method and RK - 4 Methods. Solutions and graphs of some numerical examples have been obtained with the help of MATLAB program as well as we determined the exact analytical solutions. In order to validate the accuracy, we compared exact solutions with the numerical approximate solutions by using different step sizes
Databáze: OpenAIRE