Titlebook: Advanced Computing in Industrial Mathematics; 12th Annual Meeting Krassimir Georgiev,Michail Todorov,Ivan Georgiev Book 2019 Springer Natu

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H. Hippius,R. R. Engel,G. Laakmanns lower than the accuracy of the numerical solutions of FDEs whose solutions are differentiable functions. In the present paper we propose a method for improving the accuracy of the numerical solutions of ordinary linear FDEs with constant coefficients which uses the fractional Taylor polynomials of

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J. Z. Bhatti,C. A. Alford,I. Hindmarch applications. Several different techniques are proposed to localize the nonlocal fractional diffusion operator. First three of them are based on transformation of the original problem to local elliptic or pseudoparabolic problem, or to an integral representation of the solution, thus increasing the