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

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 ^...

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Main Author: Macias Diaz, Jorge
Format: Others
Published: ScholarWorks@UNO 2004
Subjects:
Numerical methods
nonlinear partial differential equations
energy analysis
Online Access:http://scholarworks.uno.edu/td/167
http://scholarworks.uno.edu/cgi/viewcontent.cgi?article=1171&context=td
id ndltd-uno.edu-oai-scholarworks.uno.edu-td-1171
record_format oai_dc
spelling ndltd-uno.edu-oai-scholarworks.uno.edu-td-11712016-10-21T17:03:44Z A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation Macias Diaz, Jorge 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. 2004-05-08T07:00:00Z text application/pdf http://scholarworks.uno.edu/td/167 http://scholarworks.uno.edu/cgi/viewcontent.cgi?article=1171&context=td University of New Orleans Theses and Dissertations ScholarWorks@UNO Numerical methods nonlinear partial differential equations energy analysis
collection NDLTD
format Others
sources NDLTD
topic Numerical methods
nonlinear partial differential equations
energy analysis
spellingShingle Numerical methods
nonlinear partial differential equations
energy analysis
Macias Diaz, Jorge
A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
description 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.
author Macias Diaz, Jorge
author_facet Macias Diaz, Jorge
author_sort Macias Diaz, Jorge
title A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
title_short A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
title_full A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
title_fullStr A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
title_full_unstemmed A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
title_sort numerical method for computing radially symmetric solutions of a dissipative nonlinear modified klein-gordon equation
publisher ScholarWorks@UNO
publishDate 2004
url http://scholarworks.uno.edu/td/167
http://scholarworks.uno.edu/cgi/viewcontent.cgi?article=1171&context=td
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AT maciasdiazjorge numericalmethodforcomputingradiallysymmetricsolutionsofadissipativenonlinearmodifiedkleingordonequation
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