A self-starting four-step fifth-order block integrator for stiff and oscillatory differential equations

J. Sunday, A. O. Adesanya, M. R. Odekunle

Abstract


This paper examines the derivation and implementation of a self-starting four-step fifth order block integrator for direct integration of stiff and oscillatory first-order ordinary differential equations using interpolation and collocation procedures. The method was developed by collocation and interpolation of the combination of power series and exponential function to generate a continuous implicit linear multistep method. The paper further investigates the properties of the block integrator and found it to be zero-stable, consistent and convergent. The efficiency of the integrator was also tested on some sampled stiff and oscillatory problems and found to perform better than some existing ones.

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How to Cite this Article:

J. Sunday, A. O. Adesanya, M. R. Odekunle, A self-starting four-step fifth-order block integrator for stiff and oscillatory differential equations, Journal of Mathematical and Computational Science, Vol 4, No 1 (2014), 73-84

Copyright © 2014 J. Sunday, A. O. Adesanya, M. R. Odekunle. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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