Date of Award
5-2004
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.
Recommended Citation
Macias Diaz, Jorge, "A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation" (2004). University of New Orleans Theses and Dissertations. 167.
https://scholarworks.uno.edu/td/167
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.