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.
    Original languageEnglish
    Number of pages272
    Publication statusPublished - 26 Feb 2002

    Publication series

    NameCRC Mathematics Series
    PublisherChapman and Hall

    Keywords

    • elementary partial differential equations
    • calculus
    • differential equations

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