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Application of the homotopy perturbation method to linear and nonlinear fourth-order boundary value problems

Roohi, E ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1088/0031-8949/77/05/055004
  3. Publisher: 2008
  4. Abstract:
  5. In this study, we applied the homotopy perturbation (HP) method for solving linear and nonlinear fourth-order boundary value problems. The analytical results of the boundary value problems have been obtained in terms of a convergent series with easily computable components. Comparisons between the results of the HP method and the analytical solution showed that this method gives very precise results with a few terms. In the implied HP method, some unknown parameters in the initial guess are introduced, which are identified after applying boundary conditions. This improvement results in higher accuracy. © 2008 The Royal Swedish Academy of Sciences
  6. Keywords:
  7. Boundary value problems ; Differential equations ; Eigenvalues and eigenfunctions ; Initial value problems ; Perturbation techniques ; Analytical results ; Analytical solutions ; Boundary values ; Computable components ; Convergent series ; H-P method ; Homotopy ; Homotopy perturbation method (HPM) ; Initial guesses ; Unknown parameters ; Boundary conditions
  8. Source: Physica Scripta ; Volume 77, Issue 5 , 2008 ; 00318949 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/0031-8949/77/05/055004