Numerical comparison of methods for solving a special fourth-order boundary value problem

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Author Momani, Shaher en_US
Author Noor, Muhammad Aslam en_US
Available date 2010-01-10T08:42:32Z en_US
Publication Date 2007-02-27 en_US
Citation Momani, S., & Noor, M. A. (2007). Numerical comparison of methods for solving a special fourth-order boundary value problem. Applied Mathematics and Computation, 191, 218–224 en_US
URI http://dx.doi.org/10.1016/j.amc.2007.02.081 en_US
URI http://hdl.handle.net/10576/10640 en_US
Abstract In this paper, we implement relatively new analytical techniques, the differential transform method, Adomian decomposition, and homotopy perturbation method, for solving a fourth-order boundary value problem. In these schemes, the solution takes the form of a convergent series with easily computable components. This paper will present a numerical comparison between the three methods for solving a fourth-order boundary value problem. The numerical results demonstrates that the new methods are quite accurate and efficient for this kind of problems. en_US
Language en en_US
Publisher Elsevier Inc. en_US
Subject Adomian decomposition method en_US
Subject Boundary value problems en_US
Subject Differential transform method en_US
Subject Homotopy perturbation method en_US
Title Numerical comparison of methods for solving a special fourth-order boundary value problem en_US
Type Article en_US


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