Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs

H. Beiglo and M. Gachpazan

Applied Mathematics and Computation, 2020, vol. 369, issue C

Abstract: This paper presents an efficient numerical method for solving nonlinear mixed Volterra- integral equations in the complex plane. The method is based on the fixed point iteration procedure. In each iteration of this method, periodic quasi-wavelets are used as basis functions to approximate the solution. Also, using the Banach fixed point theorem, some results concerning the error analysis are obtained. Finally, some numerical examples show the implementation and accuracy of this method.

Keywords: Nonlinear mixed Volterra-Fredholm integral equations; Periodic quasi-wavelet; Complex plane; Fixed point theorem (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308203

DOI: 10.1016/j.amc.2019.124828

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