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Meerschaert, T. and Tadjeran, C. (2006) Finite Difference Approximations for Two-Sided Space-Fractional Partial Differential Equations. Applied Numerical Mathematics, 56, 80-90.
https://doi.org/10.1016/j.apnum.2005.02.008

has been cited by the following article:

• TITLE: Chelyshkov-Tau Approach for Solving Bagley-Torvik Equation

  AUTHORS: Mohamed El- Gamel, Mahmoud Abd-El-Hady, Magdy El-Azab

  KEYWORDS: Chelyshkov, Tau Method, Bagley-Torvik, Caputo Derivative, Residual Functions

  JOURNAL NAME: Applied Mathematics, Vol.8 No.12, December 21, 2017

  ABSTRACT: There are few numerical techniques available to solve the Bagley-Torvik equation which occurs considerably frequently in various offshoots of applied mathematics and mechanics. In this paper, we show that Chelyshkov-tau method is a very effective tool in numerically solving this equation. To show the accuracy and the efficiency of the method, several problems are implemented and the comparisons are given with other methods existing in the recent literature. The results of numerical tests confirm that Chelyshkov-tau method is superior to other existing ones and is highly accurate.