A spectral order method for solving the nonlinear fourth-order time-fractional problem-Reference-Cited by-同舟云学术

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A spectral order method for solving the nonlinear fourth-order time-fractional problem

Published:2022-03-18 Issue:6 Volume:68 Page:4645-4667
ISSN:1598-5865
Container-title:Journal of Applied Mathematics and Computing
language:en
Short-container-title:J. Appl. Math. Comput.

Author:

Guo Jing,Pan Qing,Xu Da,Qiu Wenlin

Funder

National Natural Science Foundation of China

Postgraduate Scientific Research Innovation Project of Hunan Province

Construct Program of the Key Discipline in Hunan Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s12190-022-01719-w.pdf

Reference35 articles.

1. Abbaszadeh, M., Dehghan, M.: Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Comput. Math. Appl. 79, 876–888 (2020)

2. Babaei, A., Moghaddam, B.P., Banihashemi, S., Machado, J.A.T.: Numerical solution of variable-order fractional integro-partial differential equations via Sinc collocation method based on single and double exponential transformations. Commun. Nonlinear Sci. Numer. Simul. 82, 104985 (2020)

3. Baleanu, D., Machado, J., Luo, A.: Fractional Dynamics and Control. Springer Science & Business Media, Berlin (2011)

4. Du, Y., Liu, Y., Li, H., He, S.: Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation. J. Comput. Phys. 344, 108–126 (2017)

5. Fakhar-Izadi, F.: Fully Petrov-Galerkin spectral method for the distributed-order time-fractional fourth-order partial differential equation. Eng. Comput. (2020). https://doi.org/10.1007/s00366-020-00968-2

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