An iterative numerical method for Fredholm-Volterra integral equations of the second kind

In this paper we propose a simple numerical method for approximating solutions of Fredholm-Volterra integral equations of the second kind. The method is based on Picard iteration and uses a suitable quadrature formula. Under certain conditions, we prove the existence and uniqueness of the solution and give error estimates for our approximations. The paper concludes with numerical examples and a discussion of the approximations proposed.

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