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

被引：1

作者：

Dastjerdi, H. Laeli ^{[1
]}

Ahmadabadi, M. Nili ^{[2
]}

机构：

[1] Farhangian Univ, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, Najafabad Branch, Najafabad, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 344卷

关键词：

Two dimensional equations; Irregular domain; Mixed Volterra-Fredholm integral equations; Mesh-less method; Numerical treatment; DATA APPROXIMATION SCHEME; COLLOCATION METHOD; MULTIQUADRICS;

D O I：

10.1016/j.amc.2018.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：46 / 56

页数：11

共 33 条

[1] Numerical solution of the nonlinear Fredholm integral equations by positive definite functions [J].