Abstract
In this paper, we apply quartic B-splines properly to study a new approximation method for numerical solutions and numerical derivatives for a class of non-linear fifth-order boundary value problems. Their analytic solutions and any-order derivatives are well approximated with \({O(h^{6})}\) errors. Numerical tests are performed and numerical results show that our new method is very practical and effective.
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This work was supported by the National Natural Science Foundation of China (Grant No. 11501533) and the Fundamental Research Funds for the Central Universities (Grant No. 201562012).
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Lang, FG., Xu, XP. An Enhanced Quartic B-spline Method for a Class of Non-linear Fifth-Order Boundary Value Problems. Mediterr. J. Math. 13, 4481–4496 (2016). https://doi.org/10.1007/s00009-016-0757-x
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DOI: https://doi.org/10.1007/s00009-016-0757-x