%0 Journal Article
%T Order six block integrator for the solution of first-order ordinary differential equations
%A J. Sunday
%A M.R. Odekunle
%A A.O. Adesanya
%J International Journal of Mathematics and Soft Computing
%D 2013
%I SweDha Publication
%X In this research work, we present the derivation and implementation of an order six block integrator for the solution of first-order ordinary differential equations using interpolation and collocation procedures. The approximate solution used in this work is a combination of power series and exponential function. We further investigate the properties of the block integrator and found it to be zero-stable, consistent and convergent. The block integrator is further tested on some real-life numerical problems and found to be computationally reliable.
%K Block integrator
%K exponential function
%K order
%K power series.
%U http://ijmsc.com/index.php/ijmsc/article/view/148/pdf_16