Bifurcation analysis of nonlinear reaction-diffusion problems using wavelet-based reduction techniques

J. Krishnan, O. Runborg, I. G. Kevrekidis

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Using a computational method for numerical homogenization, we perform the coarse-scale bifurcation analysis of nonlinear reaction-diffusion problems in both uniform and spatially varying media. The method is based on wavelet decomposition and projection of the differential equation on coarse scale wavelet spaces. The approach is capable of capturing turning points and pitchfork bifurcations of sharp, front-like solutions at the coarse level.

Original languageEnglish (US)
Pages (from-to)557-574
Number of pages18
JournalComputers and Chemical Engineering
Volume28
Issue number4
DOIs
StatePublished - Apr 15 2004

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Computer Science Applications

Keywords

  • Bifurcation analysis
  • Numerical homogenization
  • Reaction-diffusion equations
  • Wavelets

Fingerprint Dive into the research topics of 'Bifurcation analysis of nonlinear reaction-diffusion problems using wavelet-based reduction techniques'. Together they form a unique fingerprint.

Cite this