Math Model String

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    04-Apr-2018
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Transcript of Math Model String

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    u(x, t) =n=1

    2

    n22

    1

    k(1 k)

    sin(nk)exp(nt)sin

    n

    Lx

    coscn

    Lt

    u x t

    x t

    u(20, 5)

    u(x, t) xt

    t x

    L

    k

    k = 0.5 k = 0.9 k = 0.1

    n n = 1 n = 2n = 3

    c

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    n

    u(x, t) xt u(x, t)

    u(x, t) = 0x t

    u(25, 1.25) = 0.75mmu(x, t)

    n=1 n = 1 n =

    un(x, t) xun(x, t) t

    2n22

    1

    k(1k)

    sin(nk)

    k

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    sinn

    Lx

    x = 0 x = L n = 1n = 2

    n = 3

    coscn

    Lt

    exp(nt) nn

    exp(nt)coscn

    Lt

    n