An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations

Zhong Chen and Wei Jiang

Applied Mathematics and Computation, 2015, vol. 259, issue C, 614-619

Abstract: In this work, we develop a new effective method for solving nonlinear Volterra–Fredholm integral equation. The existence of any ε-approximate solution is proved. At the same time, an effective method for obtaining the ε-approximate solution is established. The final numerical examples illustrate that our approach is valid not only for weakly nonlinear problems but also for strongly nonlinear problems.

Keywords: ε-Approximate solution; Volterra-Fredholm; Nonlinear integral equation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:614-619

DOI: 10.1016/j.amc.2015.02.079

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