IMPLICITY LINEAR COLLOCATION METHOD AND ITERATED IMPLICITY LINEAR COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF HAMMERSTEIN FREDHOLM INTEGRAL EQUATIONS ON 2D IRREGULAR DOMAINS

作     者：H.Laeli Dastjerdi M.Nili Ahmadabadi H.Laeli Dastjerdi;M.Nili Ahmadabadi

作者机构：Department of MathematicsFarhangian UniversityTehranIran Department of MathematicsNajafabad BranchIslamic Azad UniversityNajafabadIran 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2020年第38卷第4期

页      面：624-637页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：Two dimensional equations Irregular domain Fredholm integral equations Mesh-less method Numerical treatment 

摘      要：In this work,we adapt and compare implicity linear collocation method and iterated implicity linear collocation method for solving nonlinear two dimensional Fredholm integral equations of Hammerstein type using IMQ-RBFs on a non-rectangular *** show to be the most promising RBFs for this kind of *** proposed methods are mesh-free and they are independent of the geometry of *** analysis of the proposed methods together with some benchmark examples are provided which support their reliability and numerical stability.