Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly
โ Scribed by K.M Liu; E.L Ortiz
- Book ID
- 107788868
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 541 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0021-9991
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A nonlinear spectral problem for a Sturm -Liouville equation The spectral parameter X is varying in an interval A and p ( z , A), q(s, A) are real, continuous functions on [a, b] x A. Some criteria to the eigenvalue accumulation at the endpoints of A will be established. The results are applied to
We discuss a hybrid approach which uses the Tau Method in combination with the Method of Lines and treat a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients, on rectangular or circular domains and with the eigenvalue parameters entering i