scholarly journals Analyzing “Homotopy Perturbation Method for Solving Fourth-Order Boundary Value Problem”

2011 ◽  
Vol 2011 ◽  
pp. 1-7
Author(s):  
Afgan Aslanov
Keyword(s):  
Boundary Value Problem ◽  
Perturbation Method ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Efficient Method ◽  
Homotopy Perturbation Method ◽  
Boundary Value ◽  
Homotopy Perturbation

We analyze a previous paper by S. T. Mohyud-Din and M. A. Noor (2007) and show the mistakes in it. Then, we demonstrate a more efficient method for solving fourth-order boundary value problems.

scholarly journals Homotopy Perturbation Method for Solving Fourth-Order Boundary Value Problems

2007 ◽  
Vol 2007 ◽  
pp. 1-15 ◽  
Author(s):  
Syed Tauseef Mohyud-Din ◽  
Muhammad Aslam Noor
Keyword(s):  
Perturbation Method ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Decomposition Method ◽  
Homotopy Perturbation Method ◽  
Boundary Value ◽  
Adomian Decomposition Method ◽  
Convergent Series ◽  
Homotopy Perturbation ◽  
Adomian Decomposition

We apply the homotopy perturbation method for solving the fourth-order boundary value problems. The analytical results of the boundary value problems have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy perturbation method. Comparisons are made to confirm the reliability of the method. Homotopy method can be considered an alternative method to Adomian decomposition method and its variant forms.

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