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.