A Family of Modified Even Order Bernoulli‐Type Multiquadric Quasi‐Interpolants with Any Degree Polynomial Reproduction Property

Ruifeng Wu, Huilai Li and Tieru Wu

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/389215

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:389215

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().