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Solution techniques for elementary partial differential equations

Author: C Constanda
Publisher: Boca Raton, Fla. : Chapman & Hall/CRC Press, ©2002.
Series: Chapman & Hall/CRC mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Additional Physical Format: Print version:
Constanda, C. (Christian).
Solution techniques for elementary partial differential equations.
Boca Raton, Fla. : Chapman & Hall/CRC Press, ©2002
(DLC) 2002017539
(OCoLC)48871376
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: C Constanda
ISBN: 9781420057515 1420057510 1584882573 9781584882572
OCLC Number: 1040653600
Description: 1 online resource (xvi, 253 pages) : illustrations.
Contents: Ordinary differential equations : brief revision --
Fourier series --
Sturm-Liouville problems --
Three fundamental equations of mathematical physics --
Method of separation of variables --
Linear nonhomogeneous problems --
Method of Eigenfunction expansion --
Fourier transformations --
Laplace transformation --
Method of Green's functions --
General second-order linear partial differential equations with two independent variables --
Methods of characteristics --
Perturbation and asymptotic methods.
Series Title: Chapman & Hall/CRC mathematics.
Responsibility: Christian Constanda.

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Of the many available texts on partial differential equations (PDEs), most are too detailed and voluminous, making them daunting to many students. In sharp contrast, Solution Techniques for Elementary Partial Differential Equations is a no-frills treatment that explains completely but succinctly some of the most fundamental solution methods for PDEs. After a brief review of elementary ODE techniques and discussions on Fourier series and Sturm-Liouville problems, the author introduces the heat, Laplace, and wave equations as mathematical models of physical phenomena. He then presents a number of solution techniques and applies them to specific initial/boundary value problems for these models. Discussion of the general second order linear equation in two independent variables follows, and finally, the method of characteristics and perturbation methods are presented. Most students seem to like concise, easily digestible explanations and worked examples that let them see the techniques in action. This text offers them both. Ideally suited for independent study and classroom tested with great success, it offers a direct, streamlined route to competence in PDE solution techniques.

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