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A boundary function equation and its numerical solution

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Abstract

We consider the asymptotic solution of the plasma-sheath integro-differential equation, which is singularly perturbed due to the presence of a small coefficient multiplying the highest order (second) derivative. The asymptotic solution is obtained by the boundary function method. A second-order differential equation is derived describing the behavior of the zeroth-order boundary functions. A numerical algorithm for this equation is discussed.

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Authors
  1. D. S. Filippychev
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Translated from Prikladnaya Matematika i Informatika, No. 24, pp. 24–34, 2006.

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Filippychev, D.S. A boundary function equation and its numerical solution. Comput Math Model 18, 234–244 (2007). https://doi.org/10.1007/s10598-007-0022-z

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