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The new modified Ishikawa iteration method for the approximate solution of different type of differential equations

DOI: 10.1186/1687-1812-2013-52

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Abstract:

In this article, the new Ishikawa iteration method is present to find the approximate solution of ordinary differential equation having initial condition. Additionally, some numerical examples with initial conditions are given to show the properties of the iteration method. Furthermore, the results of absolute errors are compared with Euler, Runge-Kutta and Picard iteration method. Finally, the present method namely the new modified Ishikawa iteration method is seen to be very effective and efficient in order to solve different type of the problem.

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