An eigenlength problem arising from a model of patch formation

DOI10.1016/0898-1221(83)90116-5zbMath0515.65065OpenAlexW1999235717MaRDI QIDQ1052054

J. Blot

Publication date: 1983

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(83)90116-5

zbMATH Keywords

invariant imbeddingmonotone iterationFrobenius seriesSturmian theorypatch formation modeleigenlength problem

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Cites Work

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• A diffusion model for patch formation on cellular surfaces
• The first eigenvalue of a spherical cap
• An invariant imbedding method for computation of eigenlengths of singular two-point boundary-value problems
• Invariant imbedding applied to homogeneous two-point boundary-value problems with a singularity of the first kind
• Critical lengths by numerical integration of the associated Riccati equation to singularity
• Invariant imbedding and the calculation of eigenvalues for Sturm- Liouville systems
• The Method of Lines and Invariant Imbedding for Elliptic and Parabolic Free Boundary Problems
• Calculation of Eigenfunctions in the Context of Integration-to-Blowup

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