A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property
Joint Authors
Li, Huilai
Wu, Ruifeng
Wu, Tieru
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
By using the polynomial expansion in the even order Bernoulli polynomials and using the linear combinations of the shifts of the function f(x)(x∈ℝ) to approximate the derivatives of f(x), we propose a family of modified even order Bernoulli-type multiquadric quasi-interpolants which do not require the derivatives of the function approximated at each node and can satisfy any degree polynomial reproduction property.
Error estimate indicates that our operators could provide the desired precision by choosing a suitable shape-preserving parameter c and a nonnegative integer m.
Numerical comparisons show that this technique provides a higher degree of accuracy.
Finally, applying our operators to the fitting of discrete solutions of initial value problems, we find that our method has smaller errors than the Runge-Kutta method of order 4 and Wang et al.’s quasi-interpolation scheme.
American Psychological Association (APA)
Wu, Ruifeng& Li, Huilai& Wu, Tieru. 2014. A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-468212
Modern Language Association (MLA)
Wu, Ruifeng…[et al.]. A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property. Journal of Applied Mathematics No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-468212
American Medical Association (AMA)
Wu, Ruifeng& Li, Huilai& Wu, Tieru. A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-468212
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468212