An explicit algorithm solves convolution Volterra equations with impulsive inputs by replacing the kernel with piecewise constant steps, giving exact solutions and proven error bounds.
First, define Lδ(δą 0) pLδ/f.mathqp/t.mathq“ /f.mathp/t.math´δq (3.2) pSδ/f.mathqp/t.mathq“ 1 δ/f.math ˆ/t.math δ ˙ (3.3) S´1 δ “S1{δ (3.4) 8 Lemma 3.1
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An explicit numerical algorithm to the solution of Volterra integral equation of the second kind
An explicit algorithm solves convolution Volterra equations with impulsive inputs by replacing the kernel with piecewise constant steps, giving exact solutions and proven error bounds.