New solutions of the Gelfand problem

DOI10.1016/S0022-247X(02)00038-0zbMath1003.65131MaRDI QIDQ1614680

Michael Plum, Christian Wieners

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existenceweak solutionsfinite elementinterval methodscomputer-assisted methodnon-symmetric solutionsBratu-Gelfand problemsolution enclosures

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General methods in interval analysis (65G40) Algorithms with automatic result verification (65G20)

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Uses Software

• C-XSC
• C-XSC 2.0
• UG

Cites Work

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• Computer-assisted enclosure methods for elliptic differential equations
• UG -- a flexible software toolbox for solving partial differential equations
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