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Quartic B-spline collocation method for fifth order boundary value problems

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Abstract

In this paper, we present a new quartic B-spline collocation method for linear and nonlinear fifth order boundary value problems. The method is fourth order convergent. It develops not only the quartic spline approximation solution but also the higher order approximation derivatives. Numerical examples are performed and comparisons with some other methods are also made. Numerical results show our method has higher accuracy and efficiency.

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Authors and Affiliations

  1. School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong, 266100, People’s Republic of China

    Feng-Gong Lang & Xiao-Ping Xu

Authors
  1. Feng-Gong Lang
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  2. Xiao-Ping Xu
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Correspondence to Feng-Gong Lang.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11071228).

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Lang, FG., Xu, XP. Quartic B-spline collocation method for fifth order boundary value problems. Computing 92, 365–378 (2011). https://doi.org/10.1007/s00607-011-0149-9

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  • DOI: https://doi.org/10.1007/s00607-011-0149-9

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