Modified variational iteration method for solving fourth-order boundary value problems

2008 ◽  
Vol 29 (1-2) ◽  
pp. 81-94 ◽  
Author(s):  
Muhammad Aslam Noor ◽  
Syed Tauseef Mohyud-Din
Keyword(s):  
Boundary Value Problems ◽  
Fourth Order ◽  
Iteration Method ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Modified Variational Iteration Method

scholarly journals Solution of Singular and Nonsingular Initial and Boundary Value Problems by Modified Variational Iteration Method

2008 ◽  
Vol 2008 ◽  
pp. 1-23 ◽  
Author(s):  
Muhammad Aslam Noor ◽  
Syed Tauseef Mohyud-Din
Keyword(s):  
Boundary Value Problems ◽  
Iteration Method ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Suggested Algorithm ◽  
Variational Iteration ◽  
Proposed Modification ◽  
Efficiency And Reliability ◽  
Adomian’S Polynomials ◽  
Modified Variational Iteration Method

We apply the modified variational iteration method (MVIM) for solving the singular and nonsingular initial and boundary value problems in this paper. The proposed modification is made by introducing Adomian's polynomials in the correct functional. The suggested algorithm is quite efficient and is practically well suited for use in such problems. The proposed iterative scheme finds the solution without any discretization, linearization, perturbation, or restrictive assumptions. Several examples are given to verify the efficiency and reliability of the suggested algorithm.

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