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Polygonal approximation to the flow on the critical surface for the bistable equation

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Publication:1203696
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DOI10.1016/0898-1221(93)90210-MzbMath0777.35032MaRDI QIDQ1203696

Victor H. Moll

Publication date: 22 February 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

travelling wavestanding waveEuler's polygonal methodstabilization of initial data


Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Neural biology (92C20)


Related Items (1)

Initiation of propagation in a one-dimensional excitable medium



Cites Work

  • Threshold phenomena for a reaction-diffusion system
  • The approach of solutions of nonlinear diffusion equations to travelling front solutions
  • Nagumo's equation
  • Stabilization of solutions of a caricature of the fitzhugh-nagumo equation (2)
  • Stabilization to the standing wave in a simple caricature of the nerve equation
  • On a threshold of codimension for the nagumo equation
  • Calculation of the Threshold Surface for Nerve Equations


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