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Solution of twelfth-order boundary value problems by variational iteration technique

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Abstract

In this paper, we implement a relatively new analytical technique which is called the variational iteration method for solving the twelfth-order boundary value problems. The analytical results of the problems have been obtained in terms of convergent series with easily computable components. Comparisons are made to verify the reliability and accuracy of the proposed algorithm. Several examples are given to check the efficiency of the suggested technique. The fact that variational iteration method solves nonlinear problems without using the Adomian’s polynomials is a clear advantage of this technique over the decomposition method.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan

    Muhammad Aslam Noor & Syed Tauseef Mohyud-Din

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  1. Muhammad Aslam Noor
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  2. Syed Tauseef Mohyud-Din
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Correspondence to Muhammad Aslam Noor.

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Noor, M.A., Mohyud-Din, S.T. Solution of twelfth-order boundary value problems by variational iteration technique. J. Appl. Math. Comput. 28, 123–131 (2008). https://doi.org/10.1007/s12190-008-0081-0

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  • DOI: https://doi.org/10.1007/s12190-008-0081-0

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