Abstract
The modified exponential interval schemes are introduced for the solution of singularly perturbed initial value problems. We give the outline of constructing the schemes of k-th order, then we construct four schemes for k = 1 and k = 2. These schemes are uniformly convergent of second and third order accuracy. Also, we introduce the idea of optimal convergence. Numerical results and comparisons with other schemes are presented.
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Salama, A.A., Hamdy, E. Interval Schemes for Singularly Perturbed Initial Value Problems. Reliable Comput 11, 41–58 (2005). https://doi.org/10.1007/s11155-005-5942-8
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DOI: https://doi.org/10.1007/s11155-005-5942-8