Author:
Bildik Necdet,Bakır Yasemin,Mutlu Ali
Abstract
Abstract
In this article, the new Ishikawa iteration method is presented to find the approximate solution of an ordinary differential equation with an 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 methods. Finally, the present method, namely the new modified Ishikawa iteration method, is seen to be very effective and efficient in solving different type of the problem.
MSC:65K15, 65L07, 65L06, 65L70.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
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