IJPAM: Volume 114, No. 2 (2017)

Title

ONE-TWELVETH STEP CONTINUOUS BLOCK METHOD
FOR THE SOLUTION OF $ y'''=f(x,y,y',y'') $

Authors

E.A. Areo$^1$, M.T. Omojola$^2$
$^{1,2}$Department of Mathematical Sciences
Federal University of Technology
Akure, NIGERIA

Abstract

We consider direct solution to third order ordinary differential equations in this paper. Collocation and interpolation approach was adopted to generate a continuous hybrid multistep method. We adopted the use of power series as a basis function for approximate solution. We evaluated at off-grid points to get a continuous hybrid multistep method. Block method was later adopted to generate the independent solution at selected off-grid points. The properties of the block viz: order, zero stability and region of absolute stability are investigated. Our method was tested on third order ordinary differential equation and found to give better result when compared with existing methods.

History

Received: November 3, 2015
Revised: April 26, 2017
Published: May 8, 2017

AMS Classification, Key Words

AMS Subject Classification:
Key Words and Phrases: block method, approximate solutions, zero-stability, region of absolute stability, continuous hybrid multistep method

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How to Cite?

DOI: 10.12732/ijpam.v114i2.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 2
Pages: 165 -


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