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Weak Galerkin finite-element method for time-fractional nonlinear integro-differential equations

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Abstract

In this article, a fully discrete scheme for one-dimensional (1D) time-fractional nonlinear integro-differential equation is established based on the weak Galerkin finite-element method. The stability and convergence of this scheme are proved. Several numerical experiments are presented to illustrate the theoretical analysis and to show the strong potential of this method.

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Acknowledgements

This research was supported by the National Science Foundation of China (contract Grant 11671131) and this paper is supported by Construct Program of the Key Discipline in Hunan Province, Performance Computing, and Stochastic Information Processing (Ministry of Education of China).

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Authors and Affiliations

  1. Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Haifeng Wang, Da Xu & Jing Guo

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  1. Haifeng Wang
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  2. Da Xu
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  3. Jing Guo
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Correspondence to Haifeng Wang.

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Communicated by Kai Diethelm.

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Wang, H., Xu, D. & Guo, J. Weak Galerkin finite-element method for time-fractional nonlinear integro-differential equations. Comp. Appl. Math. 39, 109 (2020). https://doi.org/10.1007/s40314-020-1134-8

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  • DOI: https://doi.org/10.1007/s40314-020-1134-8

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