DIRECT AND INVERSE PROBLEMS FOR THREE- DIMENSIONAL INERIOR ACOUSTIC WAVE SCATTERING

Abstract

The first aim of this research to solve the direct interior problem in a given region D in three space R 3 of a non-homogeneous and homogeneous Helmholtz's equation with boundary conditions. Secondly, using the Direct Variation method which is used successfully to solve the inverse problem for determining a form of region in space R 3 over which the Helmholtz's equation is defined or main about the solution of this equation is available in space R 3 Numerical simulation for this case is utilized. Some of the results tabulated, indicated that the direct variation method is reliable in solving mathematical inverse problems.