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A General Solution for Troesch's Problem

Author

Listed:
  • Hector Vazquez-Leal
  • Yasir Khan
  • Guillermo Fernández-Anaya
  • Agustín Herrera-May
  • Arturo Sarmiento-Reyes
  • Uriel Filobello-Nino
  • Víctor-M. Jimenez-Fernández
  • Domitilo Pereyra-Díaz

Abstract

The homotopy perturbation method (HPM) is employed to obtain an approximate solution for the nonlinear differential equation which describes Troesch’s problem. In contrast to other reported solutions obtained by using variational iteration method, decomposition method approximation, homotopy analysis method, Laplace transform decomposition method, and HPM method, the proposed solution shows the highest degree of accuracy in the results for a remarkable wide range of values of Troesch’s parameter.

Suggested Citation

  • Hector Vazquez-Leal & Yasir Khan & Guillermo Fernández-Anaya & Agustín Herrera-May & Arturo Sarmiento-Reyes & Uriel Filobello-Nino & Víctor-M. Jimenez-Fernández & Domitilo Pereyra-Díaz, 2012. "A General Solution for Troesch's Problem," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, November.
    • Handle: RePEc:hin:jnlmpe:208375
    DOI: 10.1155/2012/208375
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    Cited by:

    1. Tafakkori–Bafghi, M. & Loghmani, G.B. & Heydari, M., 2022. "Numerical solution of two-point nonlinear boundary value problems via Legendre–Picard iteration method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 133-159.

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