Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2006 / Article

Open Access

Volume 2006 |Article ID 083878 | https://doi.org/10.1155/MPE/2006/83878

Li-Na Zhang, Ji-Huan He, "Homotopy perturbation method for the solution of the electrostatic potential differential equation", Mathematical Problems in Engineering, vol. 2006, Article ID 083878, 6 pages, 2006. https://doi.org/10.1155/MPE/2006/83878

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

Received07 May 2006
Revised05 Jul 2006
Accepted16 Jul 2006
Published23 Oct 2006

Abstract

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.

References

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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.


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