Journal of Applied Mathematics

Removal of Noise Oscillation Term Appearing in the Nonlinear Equation Solution

Yasir Khan, Hector Vázquez-Leal, and Luis Hernandez-Martínez

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 387365, 9 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495237

Digital Object Identifier
doi:10.1155/2012/387365

Mathematical Reviews number (MathSciNet)
MR2956526

Zentralblatt MATH identifier
1251.34059

Citation

Khan, Yasir; Vázquez-Leal, Hector; Hernandez-Martínez, Luis. Removal of Noise Oscillation Term Appearing in the Nonlinear Equation Solution. J. Appl. Math. 2012 (2012), Article ID 387365, 9 pages. doi:10.1155/2012/387365. https://projecteuclid.org/euclid.jam/1355495237


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