Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel  

作　　者：Fatheah Ahmed Hendi Manal Mohamed Al-Qarni 

机构地区：[1]Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, KSA [2]Department of Mathematics, Faculty of Science, King Khalid University, Abha, KSA

出　　处：《Applied Mathematics》2017年第2期209-214,共6页应用数学（英文）

摘　　要：In this article, we present approximate solution of the two-dimensional singular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturbation method (LHPM)). Here we consider the V-FIE with Cauchy kernel. Solved examples illustrate that the proposed strategy is powerful, effective and very simple.In this article, we present approximate solution of the two-dimensional singular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturbation method (LHPM)). Here we consider the V-FIE with Cauchy kernel. Solved examples illustrate that the proposed strategy is powerful, effective and very simple.

关 键 词：Singular Integral Equation Linear and NONLINEAR V-FIE HOMOTOPY Perturbation Method (HPM) CAUCHY Kernel 

分 类 号：O1[理学—数学]