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arXiv · 1901.06814

Numerical analysis of linear and nonlinear time-fractional subdiffusion equations

Yubo Yang·Fanhai Zeng
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Abstract

In this paper, a new type of the discrete fractional Gr{ö}nwall inequality is developed, which is applied to analyze the stability and convergence of a Galerkin spectral method for a linear time-fractional subdiffusion equation. Based on the temporal-spatial error splitting argument technique, the discrete fractional Gr{ö}nwall inequality is also applied to prove the unconditional convergence of a semi-implicit Galerkin spectral method for a nonlinear time-fractional subdiffusion equation.

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Yubo Yang, Fanhai Zeng. 2019-01-21. Numerical analysis of linear and nonlinear time-fractional subdiffusion equations. https://arxiv.org/abs/1901.06814

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