One Step Continuous Hybrid Block Method for the Solution of y'''=f(x,y,y',y'')

K. M. Fasasi, A. O. Adesanya, S. O. Adee

Abstract


In this paper, we present a block method for the direct solution of third order initial value problems of ordinary differential equations. Collocation and interpolation approach was adopted to generate a continuous linear multistep method which was then solved for the independent solution to give a continuous block method. We evaluated the result at selected grid points to give a discrete block which eventually gave simultaneous solutions at both grid and off grid points.  The one-step block method is consistent and A -stable, with good region of absolute stability. Experimental results confirmed the superiority of the new scheme over an existing method.

Keywords: consistent, convergent, collocation, hybrid points, independent solution, interpolation, zero stable


Full Text: PDF
Download the IISTE publication guideline!

To list your conference here. Please contact the administrator of this platform.

Paper submission email: JNSR@iiste.org

ISSN (Paper)2224-3186 ISSN (Online)2225-0921

Please add our address "contact@iiste.org" into your email contact list.

This journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License.

Copyright © www.iiste.org