Variational Iteration Decomposition Method for Solving Eighth‐Order Boundary Value Problems
Author(s) -
Muhammad Aslam Noor,
Syed Tauseef MohyudDin
Publication year - 2007
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2007/19529
Subject(s) - order (exchange) , boundary value problem , decomposition , mathematics , value (mathematics) , boundary values , mathematical optimization , mathematical analysis , statistics , economics , chemistry , organic chemistry , finance
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
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