Browsing by Author "Gosa Ashine"

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    A COMPARATIVE STUDY OF NUMERICAL METHODS FOR SOLVING SYSTEM OF FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
    (Wolkite University, 2024-08-01) Gosa Ashine
    In this paper, three numerical methods are discussed to find the approximate solutions of a system of first order ordinary differential equations. Those are Classical Runge-Kutta method and Euler’s method. For each method formulas are developed for n systems of ordinary differential equations. The formulas explained by these methods are demonstrated by examples to identify the most accurate numerical methods. By comparing the analytical solution of the dependent variables with the approximate solution, absolute errors are calculated. The resulting value indicates that classical fourth order Runge-Kutta method offers most closet values with the computed analytical values. Finally, from the results the classical fourth order is more efficient method to find the approximate solutions of the systems of ordinary differential equations