TY  - JOUR
T1  - Adopting a Variable Step Size Approach in Implementing Implicit Block Multi-Step Method for Non-Stiff Ordinary Differential Equations
AU - Oghonyon, Jimevwo G. AU - Okunuga, Solomon A. AU - Omoregbe, Nicholas A. AU - Agboola, Olasunmbo O. 
JO  - Journal of Engineering and Applied Sciences
VL  - 10
IS  - 7
SP  - 174
EP  - 180
PY  - 2015
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2015.174.180
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2015.174.180
KW  - Variable step size technique
KW  -Implicit Block Multi-step Method
KW  -non-stiff ODEs
KW  -prescribed tolerance level
KW  -Gauss Seidel approach
AB  - In this study, a variable step size approach is adopted in implementing Implicit Block Multi-step Method for solving non-stiff ordinary differential equations. This idea has many computational advantages when compared with other methods. They include designing a suitable step size/changing the step size, stopping criteria (prescribed tolerance level) and error control/minimization. This approach utilizes the estimates of the principal local truncation error on a pair of explicit and implicit of Adams type formulas which are implemented in P(CE)<SUP>m</SUP> mode. Gauss Seidel approach is employed for the implementation of the proposed method. Numerical experiments are given to show the efficiency of the method.
ER  -