A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition
Aklilu Fufa Oljira,
Mesfin Mekuria Woldaregay
Abstract:Objectives
In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition. The equation involves a left boundary layer which makes it difficult to solve it using the standard numerical methods. A fitted operator finite difference method is used to approximate the differential part of the equation and the composite Simpson $$\frac{1}{3}$$
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