African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

A class of one-point zero-stable continuous hybrid methods for direct solution of second-order differential equations

S. J. Kayode
Department of Mathematical Sciences, Federal University of Technology, P. M. B. 704, Akure, Nigeria.
Email: [email protected]

  •  Accepted: 02 January 2011
  •  Published: 31 March 2011

Abstract

 

This paper considers the development of a class of one-point hybrid implicit methods for direct solution of general second order ordinary differential equations. The main predictors needed for the evaluation of the implicit methods are obtained to be of the same order with the methods at whatever hybrid point of collocation. The methods and their respective predictors are consistent and zero-stable. Numerical results are presented to show the accuracy of the methods.

 

Key words: One-point continuous hybrid, collocation and interpolation equations, grid point