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The cylindrical low density plasma sheath in the plasma limit for three ionization source functions is formulated and is discussed numerically. The three functions are: (1) the function proportional to electron density, (2) a constant function, and (3) the function proportional to the inverse radius except in a range near the center of the cylinder. We apply two iteration schemes to the formulated equations and consider the convergence of the iterations. Comparisons are made between the two processes and the numerical results.

On the numerical study of the low density plasma sheath equations in the plasma limit