Journal of Applied Mathematics

An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations

Lee Ken Yap, Fudziah Ismail, and Norazak Senu

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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.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 549597, 9 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305798

Digital Object Identifier
doi:10.1155/2014/549597

Mathematical Reviews number (MathSciNet)
MR3216130

Citation

Yap, Lee Ken; Ismail, Fudziah; Senu, Norazak. An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations. J. Appl. Math. 2014 (2014), Article ID 549597, 9 pages. doi:10.1155/2014/549597. https://projecteuclid.org/euclid.jam/1425305798


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