Date of Award

5-8-2004

Degree Type

Thesis

Degree Name

M.S.

Degree Program

Physics

Department

Physics

Major Professor

Puri, Ashok

Second Advisor

Murphy, Joseph

Third Advisor

Slaughter, Milton

Fourth Advisor

Jordan, Pedro

Abstract

In this paper we develop a finite-difference scheme to approximate radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation in an open sphere around the origin, with constant internal and external damping coefficients and nonlinear term of the form G' (w) = w ^p, with p an odd number greater than 1. We prove that our scheme is consistent of quadratic order, and provide a necessary condition for it to be stable order n. Part of our study will be devoted to study the effects of internal and external damping.

Rights

The University of New Orleans and its agents retain the non-exclusive license to archive and make accessible this dissertation or thesis in whole or in part in all forms of media, now or hereafter known. The author retains all other ownership rights to the copyright of the thesis or dissertation.

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