Higher Order Computational Approach for Generalized Time-Fractional Diffusion Equation

Author:

Kedia Nikki,Alikhanov Anatoly A.,Singh Vineet Kumar

Funder

Russian Science Foundation

SCIENCE AND ENGINEERING RESEARCH BOARD, INDIA

Publisher

Springer Science and Business Media LLC

Reference38 articles.

1. Alber, H.D.: Materials with Memory: Initial-Boundary Value Problems for Constitutive Equations with Internal Variables. Springer, Berlin (2006)

2. Alikhanov, A., Apekov, A., Huang, C.: A high-order difference scheme for the diffusion equation of multi-term and distributed orders. In: Mathematics and Its Applications in New Computer Systems: MANCS-2021, pp. 515–523. Springer (2022)

3. Alikhanov, A.A.: Boundary value problems for the diffusion equation of the variable order in differential and difference settings. Appl. Math. Comput. 219(8), 3938–3946 (2012)

4. Alikhanov, A.A.: A new difference scheme for the time fractional diffusion equation. J. Comput. Phys. 280, 424–438 (2015)

5. Alikhanov, A.A.: Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation. Appl. Math. Comput. 268, 12–22 (2015)

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