Research ArticleOpen AccessGoogle Scholar indexed
Development of a Numerical Scheme
Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria
Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria
- 1 Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria
- 2 Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria
American Journal of Computational Mathematics·Volume 06 (2016)·Pages 49–54·Published 23 February 2016·DOI10.4236/ajcm.2016.61006
Copy link · social · email
Abstract
In this paper, we developed a new numerical scheme which aimed to solve some initial value problems of ordinary differential equations. The full breakdown of this new numerical scheme derivation is presented. While in our subsequent research, we shall fully examine the characteristics of the scheme such as consistency, convergence and stability. Also, the implementation of this new numerical scheme shall be worked-on and comparison shall also be made with some existing methods.
KeywordsNumerical SchemeOrdinary Differential EquationScheme Development
- Fatunla, S.O. (1987) An Implicit Two-Point Numerical Integration Formula for Linear and Non-Linear Stiff System of ODEs. Mathematics of Computation, 32, 1-11. http://dx.doi.org/10.1090/S0025-5718-1978-0474830-0
- Ibijola, E.A. (1997) A New Numerical Scheme for the Solution of Initial Value Problem (IVPs). Ph.D. Thesis, University of Benin, Nigeria.
- Ibijola, E.A. (1998) On the Convergence, Consistency and Stability of a One-Step Method for Integration of ODEs. International Journal of Computer Mathematics, 73, 261-277.
- Ogunrinde, R.B. (2010) A New Numerical Scheme for the Solution of Initial Value Problems in Ordinary Differential Equations. Ph.D. Thesis, University of Ado Ekiti, Nigeria.
- Obayomi, A.A. (2012) Derivation of Non-Standard Finite Difference Schemes for the Second Order Chemical Reaction Model. Canadian Journal on Computing in Mathematics, Natural Sciences, Engineering and Medicine, 3, 121-124.
- Obayomi, A.A. (2012) A Set of Non-Standard Finite Difference Schemes for the Solution of an Equation of the Type International Journal of Pure and Applied Sciences and Technology, 12, 34-42.