Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems
By Muhammad Aslam Noor, Syed Tauseef Mohyud-Din. 2007
63 citations recorded by the source corpus.
We implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Numerical work is given to check the efficiency of the method. Comparisons are made to confirm the reliability and accuracy of the technique. The technique can be used as an alternative for solving nonlinear boundary value problems.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/c386f22d44d2e819ee065e8694e0f981a00b8501
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In Modeling and Simulation
- Syed Tauseef Mohyud-Din
- Muhammad Aslam Noor
- Asif Waheed
- M. Akbar
- Kamruzzaman Khan
- Jagdev Singh
- Devendra Kumar
- Hossein Jafari
In Numerical Analysis
- Syed Tauseef Mohyud-Din
- Muhammad Aslam Noor
- Asif Waheed
- Khalida Inayat Noor
- M. Akbar
- Kamruzzaman Khan
- Yonghong Yao
- Abdul Rahim Khan
Citations in the corpus
- VARIATION OF PARAMETERS METHOD FOR SOLVING SIXTH-ORDER BOUNDARY VALUE PROBLEMS (2009, methodology): “Noor and Mohyud-Din [4-14] used homotopy perturbation, variational iteration and variational iteration decomposition methods for solving fifth-order and other higher order boundary value problems.”
- Variational Iteration Method for Solving Higher-order Nonlinear Boundary Value Problems Using He's Polynomials (2008, methodology): “According to variational iteration method [16-25, 32-37,42], we can construct a correct functional as follows”