Degenerate method in mixed nonlinear three dimensions integral equation

被引：4

作者：

Basseem, M. ^{[1
]}

机构：

[1] Sinai Univ, Fac Engn, Sinai, Egypt

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2019年 / 58卷 / 01期

关键词：

Three dimensions mixed nonlinear mixed integral equation (3DMNIE); Degenerate kernel method (DM); Volterra-Fredholm integral equation (V-FIE); Nonlinear algebraic system (NAS);

D O I：

10.1016/j.aej.2017.10.010

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed. A quadrature numerical technique is used to obtain a system of Hammerstein integral equations (HIE) of the second kind in position. Then a degenerate method (DM) is applied to have a nonlinear algebraic system (NAS) that can be solved by the Newton-Raphson method. Computational results and its estimated errors are computed using Maple software. (C) 2019 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V.

引用

页码：387 / 392

页数：6

共 9 条

[1] On a method for solving a two-dimensional nonlinear integral equation of the second kind [J].