%0 Journal Article
%T Solving system of Euler's equations using Runge –Kutta methods
%J Journal of University of Anbar for Pure Science
%I University of Anbar
%Z 1991-8941
%A Al_Ameely, Aseel Ali
%A Albukhuttar, Athraa N .
%D 2023
%\ 12/01/2023
%V 17
%N 2
%P 265-268
%! Solving system of Euler's equations using Runge –Kutta methods
%K Rung- kutta method
%K approximate solution
%K Systems of Euler equations
%R 10.37652/juaps.2023.181576
%X In this paper, linear systems with variable coefficients (Euler's equations) were solved using one of the numerical methods that are subject to initial conditions defined over a given period of time .The explicit Rung-Kutta method is the fastest and most common numerical method starting with an initial value, the Rung-Kutta second order and Rung-Kutta fourth order. Analytical solutions of systems (systems with variable coefficients and systems with constant coefficients) were compared with the results of approximate solutions of the numerical method (Rung-Kutta second order And fourth order) and find out the accuracy of the results obtained for this approximate method after applying the Rung-Kutta algorithms performed with the Matlab program and finding the ratio of relative error between the exact and approximate solutions of the numerical method used, as well as solving a number of linear systems of Euler's equations of the first order supporting your results.
%U https://juaps.uoanbar.edu.iq/article_181576_12b36caff2ab8f46f48f67e6f3796474.pdf