Mathlab Practice

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    Mathlab PracticeNumerical MethodsElectrical Engineering

    Muhammadiyah University of Purwokerto

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    (I) Penyelesaian persamaan non-linier (cont.)

    Tuliskan pada comand windows pada Matlab

    instruksi berikut ini:>> f='x^3-x^2-14*x+24>> fplot(f,[-6 8])

    Misalkan terdapat permasalahn sistem akar untuk

    menyelesaikan Fungsi berikut ini:F(x)=x3 - x2- 14x + 24

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    Penyelesaian persamaan non-linier(cont)

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    I.a. Solusi Pers.Non Linier (metode bisection)

    x

    f(x)

    xux

    x

    f(x)

    xux

    xm

    xx

    m =xu

    2

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    I.b. Solusi Pers.Non Linier (metode newton-raphson)

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    I.c. Solusi Pers.Non Linier (metode secant)

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    Solusi Persamaan Linier

    Given these assumptions, Kirchhoff.s current

    rule is applied at each node to yield

    Fig. 2. Assumed current directions

    Fig 1. A resistor circuit to be solved using

    simultaneous linear algebraic equations.Application of the voltage rule to each of the

    two loops gives

    or, substituting the resistances from Fig 1 and

    bringing constants to the right-hand side,

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    Therefore, the problem amounts to solving six equations with six

    unknown currents. These equations can be expressed in matrix form as

    The solution with MATLAB is

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    MATLAB Matrix Manipulations

    Create a 3 3 matrix:

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    MATLAB Matrix Manipulations

    Create a tranpose matrix:

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    MATLAB Matrix Manipulations

    Create a inverse matrix:

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    SOLVING LINEAR ALGEBRAIC EQUATIONS WITH MATLAB

    Find the solution of linear equation :

    Employing left division yields

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    SOLVING LINEAR ALGEBRAIC EQUATIONS WITH MATLAB

    Find the solution of linear equation :

    Alternatively, multiplying the inverse of the coefficient matrix by

    the right-hand-side vector gives the same result:

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