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A reliable algorithm for solving tenth-order boundary value problems

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Abstract

In this paper we present an efficient numerical algorithm for solving linear and nonlinear boundary value problems with two-point boundary conditions of tenth-order. The differential transform method is applied to construct the numerical solutions. The proposed algorithm avoids the complexity provided by other numerical approaches. Several illustrative examples are given to demonstrate the effectiveness of the present algorithm.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Samsun, Turkey

    Vedat Suat Erturk

  2. Department of Mathematics, Mutah University, P.O. Box 7, Al-Karak, Jordan

    Shaher Momani

Authors
  1. Vedat Suat Erturk
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  2. Shaher Momani
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Correspondence to Vedat Suat Erturk.

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Erturk, V.S., Momani, S. A reliable algorithm for solving tenth-order boundary value problems. Numer Algor 44, 147–158 (2007). https://doi.org/10.1007/s11075-007-9093-3

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  • DOI: https://doi.org/10.1007/s11075-007-9093-3

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