Crank–Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana–Baleanu Caputo derivative

Author:

Akgül AliORCID,Modanli MahmutORCID

Publisher

Elsevier BV

Subject

General Mathematics,General Physics and Astronomy,Statistical and Nonlinear Physics,Applied Mathematics

Reference22 articles.

1. Crank–Nicholson method for the fractional equation with the riezs fractional derivative;Celik;J Comput Phys,2012

2. Numerical methods for fractional reaction-dispersion equation with riesz space fractional derivative;Gorial;Eng Technol J,2011

3. Jafari H, Gejii VD. Solving linear and nonlinear fractional diffusion and wave equations by adomian decomposition. Appl Math Comput 2006(180):488–497.

4. An operator method for telegraph partial differential and difference equations;Ashyralyev;Bound Value Probl,2015

5. Second order of accuracy stable difference schemes for hyperbolic problems subject to nonlocal conditions with self-adjoint operator;Ashyralyev;AIP Conf Proc,2011

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