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: 248

Full Length Research Paper

Integral Tau method for fourth-order ordinary differential equations with third degree over determination

V. O. Ojo
  • V. O. Ojo
  • Department of General Studies, Oyo State College of Agriculture and Technology, Igbo-Ora, Oyo State, Nigeria.
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R. B. Adeniyi
  • R. B. Adeniyi
  • Department of General Studies, Oyo State College of Agriculture and Technology, Igbo-Ora, Oyo State, Nigeria.
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  •  Received: 02 September 2019
  •  Accepted: 24 January 2020
  •  Published: 31 August 2020

Abstract

This paper is concerned with the solution of a class of fourth order initial value problems in ordinary differential equation by the integrated formulation of the Tau method. The initial focus is the class with a maximum of third degree overdetermination. The matrix equations were constructed based on the degree of overdetermination and for purpose of automation. The automated Tau system was tested on some selected problems to validate the study numerical evidences, thus obtained, to confirm the accuracy of the method.

Key words: Tau method, variant, formulation, approximant, perturbation term.