Abstract: In this paper, the differential transform method is employed to construct the exact solution for systems of ordinary differential equations. It has been observed that the proposed method is very efficient and reliable for the solution of systems of ordinary differential equations. Numerical results represent the effectiveness and efficiency of the proposed method.The differential transformation method (DTM) is used to compute an approximation to the solution of the systems of ordinary differential equations. The results are compared with the results obtained by different numerical methods. Some plots are presented to show the reliability and simplicity of the method.
Keywords: Differential Transform, Series solution, systems of ordinary differential equations.
Title: Efficiency of Differential Transform Method to Solve Systems of Ordinary Differential Equations
Author: Abdallah Habila Ali, Shama Alamin Mustafa.
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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