Authors : E.O. Adeyefa, O.A. Olajide, L.S. Akinola, O.E. Abolarin, A.A. Ibrahim and Y. Haruna
Abstract: A step hybrid block method for the solution of Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs) is presented in this study. The method is formulated from continuous schemes obtained via. collocation and interpolation techniques and applied in a block-by-block manner as numerical integrator for first, second and third order ODEs. The convergence properties of the method are discussed via. zero-stability and consistency. Numerical examples are included and comparisons are made with existing methods in the literature.
E.O. Adeyefa, O.A. Olajide, L.S. Akinola, O.E. Abolarin, A.A. Ibrahim and Y. Haruna, 2020. On Direct Integration of First, Second and Third Order ODES. Journal of Engineering and Applied Sciences, 15: 1972-1976.