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On the Backward Euler Method for Time Dependent Parabolic Integro-Differential Equations with Nonsmooth Initial Data

On the Backward Euler Method for Time Dependent Parabolic Integro-Differential Equations with Nonsmooth Initial Data

In this paper the backward Euler method is applied for discretization in time for a time dependent parabolic integro-differential equation.A simple energy technique is used to derive almost optimal order error estimates when the initial function is only inFurther, let A(t; •, •) and B(t, s; •, •) be the …