Journal of Applied Mathematics
Volume 2012 (2012), Article ID 387365, 9 pages
http://dx.doi.org/10.1155/2012/387365
Research Article

Removal of Noise Oscillation Term Appearing in the Nonlinear Equation Solution

Yasir Khan,1 Hector Vázquez-Leal,2 and Luis Hernandez-Martínez3

1Department of Mathematics, Zhejiang University, Hangzhou 310027, China
2School of Electronic Instrumentation, University of Veracruz, Xalapa, VER, Mexico
3Electronics Department, National Institute for Astrophysics, Optics and Electronics, 72000 Tonantzintla, PUE, Mexico

Received 27 April 2012; Accepted 4 July 2012

Academic Editor: J. Biazar

Copyright © 2012 Yasir Khan et al. 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.

Abstract

This paper suggests a novel modified Laplace method for removal of noise oscillation term appearing in the nonlinear equation solutions. The modified method overcomes the noise oscillation during the iteration procedure by suitable choice of an initial solution. Several examples are tested, and the obtained results suggest that this newly developed technique could lead to a promising tool and powerful improvement for many applications in differential and integral equations.