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

Published by LAP LAMBERT Academic Publishing, 2009

About this Item

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.

Seller Inventory # 101416894

Bibliographic Details

• Title: Spectral Transform Methods | An Alternative Approach to the Analysis of Two-Point Boundary Value Problems for Linear Evolution PDEs and Applications
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2009
• Language: English
• ISBN 10: 383832062X
• ISBN 13: 9783838320625
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 18D millimeters 220 millimeters width by 150 millimeters height by 18 millimeters depth
• Weight: 429 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.