Spectral parameter power series method for discontinuous coefficients
Autor: | Blancarte, Herminio, Campos, Hugo M., Khmelnytskaya, Kira V. |
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Rok vydání: | 2014 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1002/mma.3282 |
Popis: | Let (a,b) be a finite interval and 1/p, q, r be functions from L1(a,b). We show that a general solution (in the weak sense) of the equation (pu')'+qu = zru on (a,b) can be constructed in terms of power series of the spectral parameter z. The series converge uniformly on [a,b] and the corresponding coefficients are constructed by means of a simple recursive procedure. We use this representation to solve different types of eigenvalue problems. Several numerical tests are discussed. |
Databáze: | arXiv |
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