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

An efficient method for the numerical solution of Hammerstein mixed VF integral equations on 2D irregular domains
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DOI：
10.1016/j.amc.2018.10.003
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发表时间：
2019-03
期刊：
Appl. Math. Comput.
影响因子：
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通讯作者：
H. L. Dastjerdi;M. N. Ahmadabadi
H. L. Dastjerdi;M. N. Ahmadabadi
中科院分区：
其他
文献类型：
--
作者：
H. L. Dastjerdi;M. N. Ahmadabadi

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在这项工作中，我们采用隐式线性配置方法求解非线性二维混合Volterra-Fredholm型Hammerstein型积分方程，使用IMQ-RBFs在非矩形区域上。该方法是无网格的，与区域的几何形状无关。所提出的方法的收敛性分析与一些基准的例子提供支持其可靠性和数值稳定性。
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.