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


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Bildik N., Bakir Y. , Mutlu A.

FIXED POINT THEORY AND APPLICATIONS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1812-2013-52
  • Title of Journal : FIXED POINT THEORY AND APPLICATIONS

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.