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Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

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  • Mustafa Inc
  • Ali Akgül

Abstract

We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM), homotopy perturbation method (HPM), Adomian decomposition method (ADM), variation of parameters method (VPM), and homotopy analysis method (HAM). Obtained results show that our method is very effective.

Suggested Citation

  • Mustafa Inc & Ali Akgül, 2014. "Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
    • Handle: RePEc:hin:jnlaaa:745287
    DOI: 10.1155/2014/745287
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