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Please help on solving these complex equations

  1. Feb 24, 2009 #1
    Please help on solving these difficult equations

    In the pdf document I attached there are equations numbered (12) ,(13), (14).
    These are similar equations.
    I want to find a way to iteratively solve the equation number (13).
    I was told that this equation can be rearranged to the form, "Ax=B".
    Please help me on re-arranging the terms of this equation to this form.

    Thank you.

    Attached Files:

    Last edited: Feb 24, 2009
  2. jcsd
  3. Feb 24, 2009 #2


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    Science Advisor

    You want to solve equation 13 for WHAT variable?
  4. Feb 24, 2009 #3
    I want to solve these equation 13 for variable "n". Here n[j] is the electron density in the i,j position at time "t+1".

    So the matrix "x" (if this can be rearranged to the form Ax=B) should contain the values of "n" at the positions (i,j),(i,j-1),(i,j+1),(i-1,j),(i+1,j).

    matrix "B" would contain the all the constant terms at time "t".(D(E,x), R(n,p) & n[t]).

    Thank you
  5. Mar 2, 2009 #4
    Can somebody convert equation 13 into the matrix form.
    i.e Ax=B
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