An efficient method for the numerical solution of Hammerstein mixed VF integral equations on 2D irregular domains
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摘要
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.
论文关键词：Two dimensional equations,Irregular domain,Mixed Volterra–Fredholm integral equations,Mesh-less method,Numerical treatment
论文评审过程：Received 27 February 2017, Revised 9 September 2018, Accepted 1 October 2018, Available online 23 October 2018, Version of Record 23 October 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.10.003
