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Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems

Research Abstract
Extended one-step schemes of exponential type are introduced for solving singularly perturbed Volterra integro-differential problems. These schemes are of order (m+ 1), m= 0, 1, 2,…, when the perturbation parameter, ε, is fixed. These schemes have the property that if ε is of order h they reduced to first order of accuracy and optimal when ε→ 0. Stability analysis of these schemes are presented. Numerical results and comparisons with other schemes are presented.
Research Authors
AA Salama, Shaaban A. Bakr
Research Department
Research Journal


Applied mathematical modelling
Research Member
Research Pages
866-879
Research Publisher
Elsevier
Research Rank
1
Research Vol
31-5
Research Website
http://www.sciencedirect.com/science/article/pii/S0307904X06000606
Research Year
2007