The analytical and a higher-accuracy numerical solution of a free boundary problem in a class of discontinuous functions

DOI10.1155/2012/791026zbMath1264.35286OpenAlexW2059934474WikidataQ58911934 ScholiaQ58911934MaRDI QIDQ1955190

Bahaddin Sinsoysal

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/791026

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35) Soliton solutions (35C08) Quasilinear parabolic equations (35K59)

Cites Work

• The problem of the three-dimensional localization of thermal perturbations in the theory of non-linear heat conduction
• On the numerical solution of some sets of differential equations for problems of Stefan's type
• A difference method with front straightening for solving Stefan-type problems
• The numerical solution of a one-dimensional problem for equations of non-stationary filtration
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