Childs, S. Bart2022-10-142022-10-141968196713848810https://hdl.handle.net/10657/12316Numerical methods for the solution of the finite difference approximation to the acoustic radiation equation are discussed. For a spherical radiator, the Gauss-Seidel iterative method and the alternating direction implicit method are employed to solve the discrete approximation of the Helmholtz equation in the near field. Emphasis is on the development of the general numerical method and on the extrapolation scheme used to increase the rate of convergence. Measures of the number of calculations needed for various methods of solution are reported. A discussion of the nature of the acoustic radiation problem in numerical computation is also presented.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Difference equations.Acoustic radiation pressure.Finite differences.Near-fields.Thesisreformatted digital