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. 1. Introduction Fifth order boundary value problems arise in the mathematical modeling of viscoelastic flows [1, 2]. Agarwal, in [3], presents the conditions for the uniqueness and existence of the solutions of such type of problems. In [4], Khan investigated the solution of the fifth order boundary value problem using the finite-difference method. The improvement produced when the sixth-degree B-spline functions were used in [5]. Wazwaz, in [6], presented the numerical solution of fifth order BVP using the Adomian decomposition method and its modified form. Sixth order boundary value problems arise in astrophysics. Modeling by sixth order BVPs occurs when the narrow convecting layers bounded by stable layers which are believed to surround A-type stars. To solve such BVPs, nonnumerical techniques were developed by Twizell and Boutayeb [7] and Baldwin [8]. Baldwin also considers the same work in his book in [9]. Chawla and Katti, in [10], introduced the numerical methods for the solution of higher order differential equations. Wazwaz, in [11], used the Adomian decomposition method and its modified form to solve such problems. The aim of this research paper is to solve fifth and sixth order boundary value problems by Daftardar Jafari method (DJM). Recently Daftardar-Gejji and Bhalekar used this method to solve fractional boundary value problems with Dirichlet boundary conditions [12]. Ullah et al. [13] used DJM to solve higher order boundary value problems and got excellent results. DJM is a computer friendly iterative method to solve, especially, nonlinear BVPs. In the Adomian decomposition method [6] one has to compute Adomian polynomials which involve tedious calculations, whereas, in DJM, a couple of computer commands are sufficient to deal nonlinear BVPs. Results obtained from DJM are in higher agreement than the other numerical solutions such as ADM, ITM, VIM, and HPM. In the first section, the basic idea of DJM is introduced. Comparison between ADM and DJM and convergence of DJM and its analysis are discussed in the respective
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