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Spectral Transform Methods: An Alternative Approach to the Analysis of Two-Point Boundary Value Problems for Linear Evolution PDEs and Applications - Softcover
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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.
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- PublisherLAP Lambert Academic Publishing
- Publication date2009
- ISBN 10 383832062X
- ISBN 13 9783838320625
- BindingPaperback
- LanguageEnglish
- Number of pages276
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Spectral Transform Methods
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LAP LAMBERT Academic Publishing Okt 2009, 2009
ISBN 10: 383832062X
ISBN 13: 9783838320625
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 276 pp. Englisch. Seller Inventory # 9783838320625
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Spectral Transform Methods : An Alternative Approach to the Analysis of Two-Point Boundary Value Problems for Linear Evolution PDEs and Applications
Published by
LAP LAMBERT Academic Publishing, 2009
ISBN 10: 383832062X
ISBN 13: 9783838320625
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783838320625
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Spectral Transform Methods
Published by
LAP Lambert Academic Publishing, 2009
ISBN 10: 383832062X
ISBN 13: 9783838320625
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Softcover
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 s. Seller Inventory # 5412727
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Spectral Transform Methods: An Alternative Approach to the Analysis of Two-Point Boundary Value Problems for Linear Evolution PDEs and Applications
Published by
LAP Lambert Academic Publishing, 2009
ISBN 10: 383832062X
ISBN 13: 9783838320625
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