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Numerical solution of fourth order ordinary differential equations using fifth order runge – kutta method

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Author: 
HabtamuGaromaDebela and Masho Jima Kabeto
Abstract: 

This paper present, fifth order Runge-Kutta method (RK5) for solving initial value problems of fourth order ordinary differential equations. The proposed method is quite efficient and practically well suited for solving these problems. The numerical solutions are in good agreement with the exact solutions. Three model examples (linear and non-linear) are given to demonstrate the reliability and efficiency of the methods. Point wise absolute errors are obtained by using MATLAB software. The present approximate results are found in good agreement with the exact solutions than the other methods mentioned in the literatures.

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