Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems |
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Authors: | A.A. Salama S.A. Bakr |
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Affiliation: | Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt |
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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. |
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Keywords: | Volterra integro-differential problems Singularly perturbed Difference schemes of exponential type |
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