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Numerical Solutions of Fifth and Sixth Order Nonlinear Boundary Value Problems by Daftardar Jafari Method
Author(s) -
Inayat Ullah,
Hamid Khan,
M. T. Rahim
Publication year - 2014
Publication title -
journal of computational engineering
Language(s) - English
Resource type - Journals
eISSN - 2356-7260
pISSN - 2314-6443
DOI - 10.1155/2014/286039
Subject(s) - adomian decomposition method , mathematics , homotopy perturbation method , iterative method , boundary value problem , nonlinear system , shooting method , convergent series , mathematical analysis , homotopy , algorithm , partial differential equation , physics , pure mathematics , power series , quantum mechanics
Fifth and sixth order boundary value problems are solved using Daftardar Jafari method (DJM). DJM is introduced by Daftardar-Gejji and Jafari (2006). The approach provides the solution in the form of a rapidly convergent series. The comparison among Daftardar Jafari method (DJM), Adomian decomposition method (ADM), homotopy perturbation method (HPM), variation iteration method (VIM), and the iterative method (ITM) are displayed in table form which shows the efficiency of DJM for the solution of fifth and sixth order BVPs

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