Degenerate method in mixed nonlinear three dimensions integral equation

Degenerate method in mixed nonlinear three dimensions integral equation

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 kin...

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Bibliographic Details
Main Author: M. Basseem
Format: Article
Language:English
Published: Elsevier 2019-03-01
Series:Alexandria Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016818302436
Description
Summary: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. Keywords: Three dimensions mixed nonlinear mixed integral equation (3DMNIE), Degenerate kernel method (DM), Volterra-Fredholm integral equation (V-FIE), Nonlinear algebraic system (NAS), MSC(2010): 45B05, 45E10
ISSN:1110-0168

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