NON LINEAR COUPLED PARTIAL DIFFERENTIAL EQUATIONS IN MATLAB

Discussion in 'Programmer's Corner' started by fahad20, May 3, 2009.

  1. fahad20

    Thread Starter New Member

    May 1, 2009
    1
    0
    These are nonlinear coupled partial diferential equations (PDEs) for mixed convection.
    how to solve these equations by fnite diference or any other numerical method on matlab?
    If you have any problem or question regarding the solution of these equations, please let
    me know.
    uy = 1 + x v2
    (1)
    vyy − λ v uy + (m + 1)
    2
    u vy = (λ − m) x (uy vx − vy ux) (2)
    subject to boundary conditions
    u(x, 0) = 0 (3)
    v(x, 0) = 1 (4)
    uy(x,∞) = 1 (5)
    v(x,∞) = 0 (6)
    Take x = 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0
    m = 0, 1/3, 1/2, 1, and
    λ=0.5,1,1.5
    Generate fgures and tables for uy, v, and vy for diferent values of λ and m.
    Note: If ∞ bothers you, use any big number like 20 or 25.
    PLZ CARE TO WRITE THE WHOLE CODE...I M NEW TO MATLAB
     
Loading...