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Order six block integrator for the solution of first-order ordinary differential equations

Journal: International Journal of Mathematics and Soft Computing (Vol.3, No. 1)

Publication Date:

Authors : ;

Page : 87-96

Keywords : Block integrator; exponential function; order; power series.;

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Abstract

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.

Last modified: 2013-08-24 11:53:15