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Mathematical Problems in Engineering
Volume 2006, Article ID 83878, 6 pages

Homotopy perturbation method for the solution of the electrostatic potential differential equation

College of Science, Donghua University, Shanghai 200051, China

Received 7 May 2006; Revised 5 July 2006; Accepted 16 July 2006

Copyright © 2006 Li-Na Zhang and Ji-Huan He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper obtains an explicit analytical solution for nonlinear Poisson-Boltzmann equation by the homotopy perturbation method, which does not require a small parameter in the equation under study, so it can be applied to both the weakly and strongly nonlinear problems. The obtained results show the evidence of the usefulness of the homotopy perturbation method for obtaining approximate analytical solutions for nonlinear equations.