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Abstract
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Article Information:
A Comprehensive Comparison between Wave Propagation and Heat Distribution via Analytical Solutions and Computer Simulations
Ramin Shamshiri and Wan Ishak Wan Ismail
Corresponding Author: Ramin Shamshiri
Submitted: February 23, 2013
Accepted: March 27, 2013
Published: January 01, 2014 |
Abstract:
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Wave propagation and heat distribution are both governed by second order linear constant coefficient partial differential equations, however their solutions yields very different properties. This study presents a comprehensive comparison between hyperbolic wave equation and parabolic heat equation. Issues such as conservation of wave profile versus averaging, transporting information, finite versus infinite speed propagation, time reversibility versus irreversibility and propagation of singularities versus instantaneous smoothing have been addressed and followed by examples and graphical evidences from computer simulations to support the arguments.
Key words: Heat distribution, hyperbolic and parabolic partial differential equation, wave propagation, , , ,
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Abstract
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Cite this Reference:
Ramin Shamshiri and Wan Ishak Wan Ismail, . A Comprehensive Comparison between Wave Propagation and Heat Distribution via Analytical Solutions and Computer Simulations. Research Journal of Applied Sciences, Engineering and Technology, (1): 111-122.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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