Open Access
Translator Disclaimer
2014 An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations
Lee Ken Yap, Fudziah Ismail, Norazak Senu
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/549597

Abstract

The block hybrid collocation method with two off-step points is proposed for the direct solution of general third order ordinary differential equations. Both the main and additional methods are derived via interpolation and collocation of the basic polynomial. These methods are applied in block form to provide the approximation at five points concurrently. The stability properties of the block method are investigated. Some numerical examples are tested to illustrate the efficiency of the method. The block hybrid collocation method is also implemented to solve the nonlinear Genesio equation and the problem in thin film flow.

Citation

Download Citation

Lee Ken Yap. Fudziah Ismail. Norazak Senu. "An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/549597

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131686
MathSciNet: MR3216130
Digital Object Identifier: 10.1155/2014/549597

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.2014 • 2014
Back to Top