Jimevwo G.  Oghonyon, Solomon A.  Okunuga, Nicholas A.  Omoregbe, Olasunmbo O.  Agboola, 
    Adopting a Variable Step Size Approach in Implementing Implicit Block Multi-Step Method for Non-Stiff Ordinary Differential Equations,
    Journal of Engineering and Applied Sciences,
    Volume 10,Issue 7,
    2015,
    Pages 174-180,
    ISSN 1816-949x,
    jeasci.2015.174.180,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2015.174.180)
    Abstract: 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.
    Keywords: Variable step size technique;Implicit Block Multi-step Method;non-stiff ODEs;prescribed tolerance level;Gauss Seidel approach