An efficient method for the numerical solution of Hammerstein mixed VF integral equations on 2D irregular domains

H. Laeli Dastjerdi and M. Nili Ahmadabadi

Applied Mathematics and Computation, 2019, vol. 344-345, 46-56

Abstract: In this work, we adapt the implicity linear collocation method for solving nonlinear two dimensional mixed Volterra–Fredholm integral equations of Hammerstein type by using IMQ-RBFs on a non-rectangular domain. The proposed method is mesh-free, and it is independent of the geometry of domain. Convergence analysis of the proposed method together with some benchmark examples is provided which support its reliability and numerical stability.

Keywords: Two dimensional equations; Irregular domain; Mixed Volterra–Fredholm integral equations; Mesh-less method; Numerical treatment (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:344-345:y:2019:i::p:46-56

DOI: 10.1016/j.amc.2018.10.003

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