Efficient finite element numerical solution of the variable coefficient fractional subdiffusion equation View Full Text


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Article Info

DATE

2019-12

AUTHORS

Lin He, Juncheng Lv

ABSTRACT

Based on the weighted and shifted Grünwald formula, a fully discrete finite element scheme is derived for the variable coefficient time-fractional subdiffusion equation. Firstly, the unconditional stable and convergent of the fully discrete scheme in L1(H1)-norm is proved. Secondly, through a new estimate approach, the superclose properties are obtained. The global superconvergence order O(τ2+hm+1) is deduced with the help of interpolation postprocessing technique. Finally, some numerical results are provided to verify the theoretical analysis. More... »

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116

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http://dx.doi.org/10.1186/s13662-019-2048-x

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