Spectral Transform Methods | An Alternative Approach to the Analysis of Two-Point Boundary Value Problems for Linear Evolution PDEs and Applications

Davinia Chilton

ISBN 10: 383832062X / ISBN 13: 9783838320625

Editore: LAP LAMBERT Academic Publishing, 2009

Spectral Transform Methods | An Alternative Approach to the Analysis of Two-Point Boundary Value Problems for Linear Evolution PDEs and Applications | Davinia Chilton | Taschenbuch | 276 S. | Englisch | 2009 | LAP LAMBERT Academic Publishing | EAN 9783838320625 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Codice articolo 101416894

Riassunto:

A transform method developed by Fokas, is used for the study of two-point boundary value problems for linear evolution partial differential equations of arbitrary order, posed on a finite space domain. An appropriately defined x-differential operator, and suitable initial and boundary data are assumed. The solution representation is expressible as an integral in the complex plane. For problems of odd order such representations are new, while for even orders it is shown that they are equivalent to classical series representations. Spectral codes are developed for the numerical solution of a variety of illustrative examples, with many different types of boundary conditions. Finally, these codes are generalised and developed for linear third order problems for the solution of two-point boundary value problems for the nonlinear Korteweg-deVries equation.

Dati bibliografici

Titolo: Spectral Transform Methods | An Alternative ...
Casa editrice: LAP LAMBERT Academic Publishing
Data di pubblicazione: 2009
Legatura: Taschenbuch
Condizione: Neu