@article{MAKHILLJEAS201510713512,
    title = {Adopting a Variable Step Size Approach in Implementing Implicit Block Multi-Step Method for Non-Stiff Ordinary Differential Equations},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {10},
    number = {7},
    pages = {174-180},
    year = {2015},
    issn = {1816-949x},
    doi = {jeasci.2015.174.180},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2015.174.180},
    author = {Jimevwo G.,Solomon A.,Nicholas A. and},
    keywords = {Variable step size technique,Implicit Block Multi-step Method,non-stiff ODEs,prescribed tolerance level,Gauss Seidel approach},
    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.}
    }