A starting method for the numerical solution of Volterra's integral equation of the second kind
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The acquisition of starting values is one of the chief difficulties encountered in computing a numerical solution of Volterra's integral equation of the second kind by a multi-step method. The object of this note is to present a procedure which is derived from certain quadrature formulas and which provides these starting values, to provide a sufficient condition for the approximate solution to be unique, to bound the approximate solution and the error, and to give a numerical example.
KeywordsIntegral Equation Approximate Solution Computational Mathematic Quadrature Formula
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