On the computation of blow-up solutions for semilinear ODEs and parabolic PDEs
type: Item
instance of: scholarly article
title: On the computation of blow-up solutions for semilinear ODEs and parabolic PDEs
zbMATH Open document ID: 1264.65208
DOI: 10.1155/2012/162034
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65P20
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 35K91
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6173060
zbMATH Keywords: MATLAB
Wikidata QID: Q58912508
author: Phumlani Goodwill Dlamini
author: Melusi Khumalo
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/162034
OpenAlex ID: W2063575498
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description: scientific article; zbMATH DE number 6173060