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Section B

Derivation of a new block method similar to the block trapezoidal rule for the numerical solution of first-order IVPs

Pages 705-714 | Received 27 Aug 2007, Accepted 11 Apr 2008, Published online: 01 Oct 2008
 

Abstract

In this paper, a new block method of the second order is presented to solve initial value problems numerically. This method is similar to the block trapezoidal rule [S. Abbas and L.M. Delves, Parallel solution of ODE's by one step block methods, Report CSMR, University of Liverpool, 1989.], where the low power of the block size appears in the principal local truncation error. Direct comparison with the related results of the block trapezoidal rule has been outlined.

2000 AMS Subject Classification :

Acknowledgements

I am grateful to the referees for very constructive comments and for suggesting various improvements to the manuscript.

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