A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Physics

Year

2004

Author dc:creator

• Macias Diaz, Jorge

Contributors dc:contributor

• Puri, Ashok
• Murphy, Joseph
• Slaughter, Milton

• Numerical methods
• nonlinear partial differential equations
• energy analysis

Repository record dc:identifier

https://scholarworks.uno.edu/td/167

OAI identifier oai:identifier

oai:scholarworks.uno.edu:td-1171