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Development of a Numerical Scheme


Affiliations
1 Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria
 

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.

Keywords

Numerical Scheme, Ordinary Differential Equation, Scheme Development.
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  • Development of a Numerical Scheme

Abstract Views: 78  |  PDF Views: 9

Authors

R. B. Ogunrinde
Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria
T. E. Olaosebikan
Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria

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.

Keywords


Numerical Scheme, Ordinary Differential Equation, Scheme Development.