Green's Functions and Linear Differential Equations - Theory, Applications, and Computation

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, int

Sommario

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.

Info autore

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.

Riassunto

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, int

Dettagli sul prodotto

• Autori: Prem K. Kythe, Kythe Prem K.
• Editore: Taylor and Francis
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 14.10.2024
• EAN: 9781032920825
• ISBN: 978-1-032-92082-5
• Pagine: 382
• Peso: 453 g
• Illustrazioni: schwarz-weiss Illustrationen
• Serie: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Arithmetic, Mathematical physics, Differential calculus & equations, Applied mathematics, Technology, Engineering, Agriculture, Differential calculus and equations, Technology, Engineering, Agriculture, Industrial processes