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Solving system of Euler's equations using Runge –Kutta methods | ||
| Journal of University of Anbar for Pure Science | ||
| Article 35, Volume 17, Issue 2, December 2023, Pages 265-268 PDF (725.19 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2023.181576 | ||
| Authors | ||
| Aseel Ali Al_Ameely* 1; Athraa N . Albukhuttar2 | ||
| 1Department of Mathematics, College of Education for Girls, University of Al-Kufa, Najaf – Iraq | ||
| 2Department of Mathematics, College of Education for Girls, University of Al-Kufa, Najaf , Iraq; | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Rung- kutta method; approximate solution; Systems of Euler equations | ||
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Supplementary Files
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| References | ||
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