Research Article Open Access

An Order Six Zero-Stable Method for Direct Solution of Fourth Order Ordinary Differential Equations

Kayode Sunday Jacob

Abstract

A zero-stable numerical method for direct solution of fourth order differential equations reduces the computational burden and computer time wastage involved in the method of reducing such equations to a system of first order equations. The method adopted is the collocation of the differential system and the interpolation of the approximate solution to the problem using the power series as a basis function. The method is consistent and symmetric with optimal order p = 6. A consistent and symmetric main predictor of order five is also developed for the evaluation of the implicit scheme.

American Journal of Applied Sciences
Volume 5 No. 11, 2008, 1461-1466

DOI: https://doi.org/10.3844/ajassp.2008.1461.1466

Submitted On: 27 March 2007 Published On: 30 November 2008

How to Cite: Jacob, K. S. (2008). An Order Six Zero-Stable Method for Direct Solution of Fourth Order Ordinary Differential Equations. American Journal of Applied Sciences, 5(11), 1461-1466. https://doi.org/10.3844/ajassp.2008.1461.1466

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Keywords

  • Zero-stable
  • collocation
  • continuous coefficient
  • optimal order
  • functions evaluation