International Journal of Science and Technology Education Research
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Article Number - 372CB1966023

Vol.8(2), pp. 13-17 , September 2017
DOI: 10.5897/IJSTER2017.0418
ISSN: 2141-6559

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

Copyright © 2017 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0

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.

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APA Babuba, S. (2017). Single basis function method for solving diffusion convection equations. International Journal of Science and Technology Education Research, 8(2), 13-17.
Chicago Sunday Babuba. "Single basis function method for solving diffusion convection equations." International Journal of Science and Technology Education Research 8, no. 2 (2017): 13-17.
MLA Sunday Babuba. "Single basis function method for solving diffusion convection equations." International Journal of Science and Technology Education Research 8.2 (2017): 13-17.
DOI 10.5897/IJSTER2017.0418

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