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Cubic Polynomial Spline Scheme for Fractional Boundary Value Problems with Left and Right Fractional Operators

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Abstract

In this paper, cubic polynomial spline based functions are used for the approximate solutions of fractional boundary value problems (FBVPs). Left and right sided Caputo’s fractional approaches are used for the fractional derivative. Convergence analysis of this method is also presented. Numerical examples are given to illustrate the accuracy and efficiency of this method and comparison show that this scheme is more accurate than the existing method (Rehman and Khan in Appl Math Model 36:894–907, 2012).

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    Ghazala Akram & Hira Tariq

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  1. Ghazala Akram
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  2. Hira Tariq
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Correspondence to Ghazala Akram.

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Akram, G., Tariq, H. Cubic Polynomial Spline Scheme for Fractional Boundary Value Problems with Left and Right Fractional Operators. Int. J. Appl. Comput. Math 3, 937–946 (2017). https://doi.org/10.1007/s40819-016-0145-z

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  • DOI: https://doi.org/10.1007/s40819-016-0145-z

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