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We present implicit and explicit versions of a numerical algorithm forsolving a Volterra integro-differential equation. These algorithms are anextension of our previous work, and cater for a kernel of general form. We usean appropriate test equation to study the stability of both algorithms,numerically deriving stability regions. The region for the implicit methodappears to be unbounded, while the explicit has a bounded region close to theorigin. We perform a few calculations to demonstrate our results.

Stability analysis of an implicit and explicit numerical method for Volterra integro-differential equations with kernel K(x,y(t),t)