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Optimal extended one-step schemes of exponential type for stiff initial-value problems

Research Authors
AA Salama, Shaaban A. Bakr
Research Abstract

Extended one-step schemes of exponential type are introduced for the numerical solution of
stiff initial-value problems. These schemes are uniformly convergent of third and fourth
orders of accuracy. In addition, we show that these schemes are optimal when ϵ→ 0.
Numerical results and comparisons with other schemes are presented.

Research Department
Research Journal


International Journal of Computer Mathematics
Research Member
Research Publisher
Taylor & Francis
Research Rank
1
Research Vol
81- 11
Research Website
http://www.tandfonline.com/doi/abs/10.1080/00207160412331286860#.VSJ7BU0cRfM
Research Year
2004
Research Pages
1363-1379