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

Sanda Micula

Applied Mathematics and Computation, 2015, vol. 270, issue C, 935-942

Abstract: 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.

Keywords: Fredholm–Volterra integral equations; Fixed-point theory; Picard iteration; Numerical approximation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:935-942

DOI: 10.1016/j.amc.2015.08.110

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