International Journal of
Science and Technology Education Research

  • Abbreviation: Int. J. Sci. Technol. Educ. Res.
  • Language: English
  • ISSN: 2141-6559
  • DOI: 10.5897/IJSTER
  • Start Year: 2010
  • Published Articles: 67

Full Length Research Paper

Single basis function method for solving diffusion convection equations

Sunday Babuba
  • Sunday Babuba
  • Department of Mathematics, Federal University Dutse, Ibrahim Aliyu Bye-Pass, P. M. B. 7156, Dutse, Jigawa State, Nigeria.
  • Google Scholar


  •  Received: 26 June 2017
  •  Accepted: 24 August 2017
  •  Published: 30 September 2017

Abstract

In this study, we developed a new numerical finite difference method for solving various diffusion convection equations. The method involves reduction of the diffusion convection equations to a system of algebraic equations. By solving the system of algebraic equations we obtain the problem approximate solutions. The study of the numerical accuracy of the method has shown that the method provides similar results to the known explicit finite difference method for solving diffusion convection equations, but with fewer numbers of iterations.

Key words: Lines, multistep collocation, parabolic, Taylor’s polynomial.