A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation

Author:

Seal Aniruddha,Natesan SrinivasanORCID,Toprakseven Suayip

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference24 articles.

1. Alikhanov, A.A.: A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions, Comput. methods. Appl. Math. 17, 647–660 (2017)

2. Avijit, D., Natesan, S.: A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs. Appl. Numer. Math. 172, 259–278 (2022)

3. Axtell, M., Bise, M.E.: Fractional calculus application in control systems, In: IEEE conference on aerospace and electronics, IEEE, (1990), 563–566

4. Bagley, R.L., Torvik, P.: A theoretical basis for the application of fractional calculus to viscoelasticity. J. Rheol. 27, 201–210 (1983)

5. Carpinteri, A., Cornetti, P., Sapora, A.: Nonlocal elasticity: an approach based on fractional calculus. Meccanica 49, 2551–2569 (2014)

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