• Login
    View Item 
    •   Carroll Scholars Home
    • Mathematics, Engineering and Computer Science
    • Mathematics, Engineering and Computer Science Undergraduate Theses
    • View Item
    •   Carroll Scholars Home
    • Mathematics, Engineering and Computer Science
    • Mathematics, Engineering and Computer Science Undergraduate Theses
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Solution Of Parabolic Partial Differential Equations By Finite Difference Methods

    Thumbnail
    View/Open
    1973_ProsperL_THS_000XXX.pdf (6.343Mb)
    Author
    Prosper, Lawrence
    Advisor
    Alfred Murray; Thomas Stewart; Noel Bowman
    Date of Issue
    1973-04-01
    Metadata
    Show full item record
    URI
    https://scholars.carroll.edu/handle/20.500.12647/3510
    Title
    Solution Of Parabolic Partial Differential Equations By Finite Difference Methods
    Type
    thesis
    Abstract
    This paper is concerned with finding the solutions to a particular type of partial differential equations. It will be left up to the engineers and physicists to derive the actual equations which describe a physical situation. This paper will concern itself only with the solutions to parabolic differential equations. Linear partial differential equations of degree two are frequently classified as either elliptic, hyperbolic, or parabolic. Of these three, this paper is concerned only with the last. It would seem necessary to define, in exact terms, what is to be considered a linear PDS of degree two. If the equation is reducable to the form [FORMULA] where u is the dependent variable and the x’s the independent variables, then the equation is linear and of degree two. Further, if all the A's except one are -1 or all except one +1, and the exception, eg Ak, Is zero and if only Bk is not zero, then the equation is considered parabolic. This is the definition presented by Caranahan (1). Some examples of the parabolic PDE as defined above are [FORMULA] Equations of this type arise principally in the study of heat flow and related occurrances.
    Degree Awarded
    Bachelor's
    Semester
    Spring
    Department
    Mathematics, Engineering & Computer Science
    Collections
    • Mathematics, Engineering and Computer Science Undergraduate Theses

    Browse

    All of Carroll ScholarsCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    DSpace software copyright © 2002-2023  DuraSpace
    DSpace Express is a service operated by 
    Atmire NV