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Naive regular perturbation

  1. May 4, 2012 #1
    can any one hlep me with this qustion ???

    Consider the equation

    ε x^3 + x^2 - x - 6 = 0 ,ε > 0. (1)

    1. Apply a naive regular perturbation of the form

    x~[itex]^{0}_{∞}Ʃ[/itex] xn εn as ε→0+

    do derive a three-term approximation to the solutions of (1).

    2. The above perturbation expansion should only give you an approximation for 2 of the roots.
    Apply a leading order balance argument to device suitable expansions for the other root, again
    in the limit ε → 0+. Again, derive a three-term approximation this third case.

    3. Solve (1) numerically for ε = 0.01 ?
  2. jcsd
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