Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains

DOI10.1137/090761367zbMath1208.65124OpenAlexW2001725214WikidataQ57692494 ScholiaQ57692494MaRDI QIDQ3066213

Jiwei Zhang, Hermann Brunner, Xiao-Nan Wu

Publication date: 10 January 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090761367

zbMATH Keywords

numerical resultsunbounded domainssemilinear parabolic equationLaplace transformationartificial boundary conditionsnonlinear absorbing boundary conditionsadaptive time steppingfinite difference spatial discretizationlocal absorbing boundary conditionsblow up problems

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace transform (44A10) Semilinear parabolic equations (35K58)

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