A computational iterative method for solving nonlinear ordinary differential equations. Issue 1 (December 2015)

• Record Type: Journal Article
• Authors: Temimi, H.; Ansari, A. R.
• Is Part Of: LMS journal of computation and mathematics. Volume 18:Issue 1(2015)
• Page Start: 730
• Page End: 753
• Publication Date: 2015-12
• Subjects: 65L10, -- 35G30 (primary)
• DOI: 10.1112/S1461157015000285
• Languages: English
• ISSNs: 1461-1570

Abstract

Abstract : We present a quasi-linear iterative method for solving a system of $m$ -nonlinear coupled differential equations. We provide an error analysis of the method to study its convergence criteria. In order to show the efficiency of the method, we consider some computational examples of this class of problem. These examples validate the accuracy of the method and show that it gives results which are convergent to the exact solutions. We prove that the method is accurate, fast and has a reasonable rate of convergence by computing some local and global error indicators.