On the computation of blow-up solutions for semilinear ODEs and parabolic PDEs

P. G. Dlamini, M. Khumalo

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We introduce an adaptive numerical method for computing blow-up solutions for ODEs and well-known reaction-diffusion equations. The method is based on the implicit midpoint method and the implicit Euler method. We demonstrate that the method produces superior results to the adaptive PECE-implicit method and the MATLAB solver of comparable order.

Original languageEnglish
Article number162034
JournalMathematical Problems in Engineering
Volume2012
DOIs
Publication statusPublished - 2012

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering

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