Discrete vector Sturm-Liouville problems with non-self-adjoint boundary conditions: eigenstructure, orthogonality, and eigenfunctions expansion

DOI10.1016/S0898-1221(04)90092-2zbMath1077.39018OpenAlexW2029194907MaRDI QIDQ1767830

Rafael-Jacinto Villanueva, Lucas Jodar

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(04)90092-2

zbMATH Keywords

eigenfunctionseigenpairsfinite Fourier series expansionsnon-self-adjoint boundary conditionnon-self-adjoint discrete Sturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Discrete version of topics in analysis (39A12)

Cites Work

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• The stable discrete numerical solution of strongly coupled mixed partial differential systems
• Discrete and continuous boundary problems
• Exact and analytic-numerical solutions of strongly coupled mixed diffusion problems
• Constructive stable numerical solutions for strongly coupled diffusion mixed partial differential systems
• Convergent discrete numerical solutions of coupled mixed partial differential systems

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