A Numerical Approach to the Dynamical Behavior of Initiated Pulses in Some Nonlinear Diffusion Equations

Kenji Tomoeda ()
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Kenji Tomoeda: Osaka Institute of Technology, Department of Applied Mathematics and Information

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 806-814 from Springer

Abstract: Summary The dynamical behavior of the pulses, which is governed by the interaction between diffusion and absorption, shows the several phenomena. The remarkable ones are the pulse splitting phenomena which accompany pulse connecting phenomena. In this paper such phenomena are investigated from numerical points of view, and the mathematical justification is stated.

Keywords: Finite Difference Scheme; Thermal Wave; Extinction Time; Porous Medium Equation; Nonlinear Diffusion Equation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_79

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DOI: 10.1007/978-3-642-18775-9_79

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