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Chebyshev Pseudo-Spectral Method for Bratu’s Problem

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Abstract

In this paper, the Chebyshev pseudo-spectral (CPS) method is proposed for solving a class of boundary value problems. Specially, we apply the CPS method for the Bratu’s problem and obtain an approximate solution for this problem. The obtained solution can approximate the exact solution very accurately. By providing some theorems, we survey the feasibility and convergence of approximate solutions. The approximate results are compared with many other available methods. By calculating absolute errors, we show the efficiency of the method with respect to the other methods.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

    M. H. Noori Skandari & M. Ghaznavi

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  1. M. H. Noori Skandari
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  2. M. Ghaznavi
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Correspondence to M. H. Noori Skandari.

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Noori Skandari, M.H., Ghaznavi, M. Chebyshev Pseudo-Spectral Method for Bratu’s Problem. Iran J Sci Technol Trans Sci 41, 913–921 (2017). https://doi.org/10.1007/s40995-017-0334-6

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  • DOI: https://doi.org/10.1007/s40995-017-0334-6

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