Approximation of the Minimal Eigenvalue for a Nonlinear Sturm–Liouville Problem
Properties of the minimal eigenvalue corresponding to the positive eigenfunction of a nonlinear eigenvalue problem for an ordinary differential equation are studied. This problem is approximated by a mesh scheme of the finite element method. The error of approximate solutions is investigated. Theore...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Kazan Federal University
2015-06-01
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| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/portal/docs/F1793906104/157_2_phys_mat_4.pdf |
| Summary: | Properties of the minimal eigenvalue corresponding to the positive eigenfunction of a nonlinear eigenvalue problem for an ordinary differential equation are studied. This problem is approximated by a mesh scheme of the finite element method. The error of approximate solutions is investigated. Theoretical results are illustrated by numerical experiments for a model eigenvalue problem. |
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| ISSN: | 2541-7746 2500-2198 |