Solution techniques for elementary partial differential equations

C. Constanda

    Research output: Book/ReportBook

    Abstract

    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.
    LanguageEnglish
    Number of pages272
    Publication statusPublished - 26 Feb 2002

    Publication series

    NameCRC Mathematics Series
    PublisherChapman and Hall

    Fingerprint

    Partial differential equation
    Characteristics Method
    Method of Characteristics
    Sturm-Liouville Problem
    Number of Solutions
    Perturbation Method
    Second Order Equations
    Laplace's equation
    Fourier series
    Heat Equation
    Initial-boundary-value Problem
    Wave equation
    Linear equation
    Mathematical Model
    Model
    Review

    Keywords

    • elementary partial differential equations
    • calculus
    • differential equations

    Cite this

    Constanda, C. (2002). Solution techniques for elementary partial differential equations. (CRC Mathematics Series).
    Constanda, C. / Solution techniques for elementary partial differential equations. 2002. 272 p. (CRC Mathematics Series).
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    Constanda, C 2002, Solution techniques for elementary partial differential equations. CRC Mathematics Series.

    Solution techniques for elementary partial differential equations. / Constanda, C.

    2002. 272 p. (CRC Mathematics Series).

    Research output: Book/ReportBook

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    Constanda C. Solution techniques for elementary partial differential equations. 2002. 272 p. (CRC Mathematics Series).