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Faraidun K. Hamasalh and Pshtiwan O. Muhammad, Generalized Quartic Fractional Spline Interpolation with Applications, Int. J. Open Problems Compt. Math, Vol. 8, No. 1 (2015)., 67-80.

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Article

Analysis of Fractional Splines Interpolation and Optimal Error Bounds

1Faculty of Science and Science Education, School of Science Education, Sulaimani Univ., Sulaimani, Iraq


American Journal of Numerical Analysis. 2015, Vol. 3 No. 1, 30-35
DOI: 10.12691/ajna-3-1-5
Copyright © 2015 Science and Education Publishing

Cite this paper:
Faraidun K. Hamasalh, Pshtiwan O. Muhammad. Analysis of Fractional Splines Interpolation and Optimal Error Bounds. American Journal of Numerical Analysis. 2015; 3(1):30-35. doi: 10.12691/ajna-3-1-5.

Correspondence to: Faraidun  K. Hamasalh, Faculty of Science and Science Education, School of Science Education, Sulaimani Univ., Sulaimani, Iraq. Email: faraidunsalh@gmail.com

Abstract

This paper presents a formulation and a study of three interpolatory fractional splines these are in the class of mα, m = 2, 4, 6, α = 0:5. We extend fractional splines function with uniform knots to approximate the solution of fractional equations. The developed of spline method is to analysis convergence fractional order derivatives and estimating error bounds. We propose spline fractional method to solve fractional differentiation equations. Numerical example is given to illustrate the applicability and accuracy of the methods.

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