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

Chilton, Davinia

Softcover

ISBN 10: 383832062X ISBN 13: 9783838320625

Verlag: LAP Lambert Academic Publishing, 2009

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Dr. Davinia Chilton MMath: Studied Mathematics at The University of Reading as an undergraduate, culminating in a PhD in Applied Mathematics in 2006. The work presented in this publication is based on the research she completed during this time.

Details zur Ausgabe

• Verlag: LAP Lambert Academic Publishing
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 383832062X
• ISBN 13: 9783838320625
• Einband: Taschenbuch
• Anzahl der Seiten: 276
• Kontakt zum Hersteller: Nicht verfügbar
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