scholarly journals Homotopy perturbation method for solving sixth-order boundary value problems

2008 ◽  
Vol 55 (12) ◽  
pp. 2953-2972 ◽  
Author(s):  
Muhammad Aslam Noor ◽  
Syed Tauseef Mohyud-Din
Keyword(s):  
Perturbation Method ◽  
Boundary Value Problems ◽  
Homotopy Perturbation Method ◽  
Boundary Value ◽  
Sixth Order ◽  
Homotopy Perturbation

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 Green’s function homotopy perturbation method for the initial-boundary value problems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Wannika Sawangtong ◽  
Panumart Sawangtong
Keyword(s):  
Perturbation Method ◽  
Green’S Function ◽  
Boundary Value Problems ◽  
Green's Function ◽  
Homotopy Perturbation Method ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Homotopy Perturbation ◽  
Initial Boundary Value

Abstract This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method, shortly called SGHPM. The SGHPM is a method which combines the homotopy perturbation method with Green’s function method. The convergence analysis for the SGHPM is shown. Furthermore, some examples are presented to illustrate the validity of the proposed method and to ensure that SGHPM is a technique which is powerful and efficient for finding approximate analytic solutions of IBVPs.

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