Prem K. Kythe

Green's Functions and Linear Differential Equations (eBook, PDF)

Theory, Applications, and Computation

• Format: PDF

Produktbeschreibung

This self-contained text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary value problems involving linear ODEs and PDEs. It presents a variety of approaches, including classical and general variations of parameters, Wronskian method, Bernoulli's separation method, integral transform method, method of images, conformal mapping method, and interpolation method. The text also covers applications of Green's functions and contains numerous examples and exercises from diverse areas of mathematics, applied science, and engineering.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 382
• Erscheinungstermin: 21. Januar 2011
• Englisch
• ISBN-13: 9781439840092
• Artikelnr.: 57123210

Autorenporträt

Prem K. Kythe is a professor emeritus of mathematics at the University of New Orleans. Dr. Kythe is the co-author of Handbook of Computational Methods for Integration (CRC Press, December 2004) and Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition (CRC Press, November 2002). His research encompasses complex function theory, boundary value problems, wave structure, and integral transforms.

Inhaltsangabe

Some Basic Results. The Concept of Green's Functions. Sturm-Liouville
Systems. Bernoulli's Separation Method. Integral Transforms. Parabolic
Equations. Hyperbolic Equations. Elliptic Equations. Spherical Harmonics.
Conformal Mapping Method. Appendices. Bibliography. Index.