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A posteriori analysis: error estimation for the eighth order boundary value problems in reproducing Kernel space

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Abstract

In the previous work (Akram and Rehman Numer. Algor. 62 527–540 2013), Akram and Rehman presented the reproducing kernel method (RKM) for solving various eighth order boundary value problems. However, an effective error estimation for this method has not yet been discussed. This work is devoted to deal with this problem. Some other aspects of the RKM will be considered such as convergence analysis and numerical implementations.

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Authors and Affiliations

  1. Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

    Taher Lotfi, Mehdi Rashidi & Katauoun Mahdiani

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  1. Taher Lotfi
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  2. Mehdi Rashidi
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  3. Katauoun Mahdiani
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Correspondence to Mehdi Rashidi.

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Lotfi, T., Rashidi, M. & Mahdiani, K. A posteriori analysis: error estimation for the eighth order boundary value problems in reproducing Kernel space. Numer Algor 73, 391–406 (2016). https://doi.org/10.1007/s11075-016-0100-4

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  • DOI: https://doi.org/10.1007/s11075-016-0100-4

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