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Removal of Noise Oscillation Term Appearing in the Nonlinear Equation Solution

Author

Listed:
  • Yasir Khan
  • Hector Vázquez-Leal
  • Luis Hernandez-Martínez

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.

Suggested Citation

  • Yasir Khan & Hector Vázquez-Leal & Luis Hernandez-Martínez, 2012. "Removal of Noise Oscillation Term Appearing in the Nonlinear Equation Solution," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:387365
    DOI: 10.1155/2012/387365
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    References listed on IDEAS

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    1. Ghorbani, Asghar, 2009. "Beyond Adomian polynomials: He polynomials," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1486-1492.
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    Cited by:

    1. Hector Vazquez-Leal & Arturo Sarmiento-Reyes & Yasir Khan & Uriel Filobello-Nino & Alejandro Diaz-Sanchez, 2012. "Rational Biparameter Homotopy Perturbation Method and Laplace‐Padé Coupled Version," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Shuang Song & Ning-ning Duan & An-jun Chen, 2014. "Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Héctor Vázquez-Leal, 2012. "Rational Homotopy Perturbation Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).

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