On a block integrator for the solution of first Order ordinary differential equations

On a block integrator for the solution of first Order ordinary differential equations

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An efficient one step Adam type implicit block numerical algorithm developed by simultaneous employment of interpolation and collocation techniques is proposed in this paper. Non mesh points were introduced to upgrade the order of consistency and improve the rate of convergence of the method. Further analysis revealed a wide interval of absolute stability. The method is implemented as a block...
 
Published at American Journal of Mathematics and Mathematical Sciences, 2(2), 25-35 (2014)
Published in 2014
 
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Anake, T. A., M. C. Agarana, S. A. Bishop and O. J. Adeleke
ANAKE Timothy » Dr. Timothy Ashibel Anake started his academic career in 2004 at Igbinedion University, Okada in Edo State after obtaining B.Sc and M.Sc degrees from University of Uyo and Ibadan respectively. He moved on to Covenant University in November 2006 where he has had a fulfilling career until date. He obtained a Ph.D in Mathematics from Covenant University in 2011, specializing in Numerical solutions... view full profile
ANAKE Timothy
 
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