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 regionD in three space of a non-homogeneous and homogeneous Helmholtz's equation withboundary conditions. Secondly, using the Direct Variation method which is used successfullyto solve the inverse problem for determining a form of region in space over which theHelmholtz's equation is defined or main about the solution of this equation is available inspace . Numerical simulation for this case is utilized. Some of the results tabulated,indicated that the direct variation method is reliable in solving mathematical inverseproblems.