Degenerate method in mixed nonlinear three dimensions integral equation

Abstract

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.