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High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation
被引：0
作者：
Baojin Su
Ziwen Jiang
机构：
[1] Shandong Normal University,School of Mathematics and Statistics
来源：
Advances in Difference Equations
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/
2020卷
关键词：
2D multi-term time fractional sub-diffusion equation;
High-order compact finite volume scheme;
Stable;
Convergent;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on an L1 interpolation operator, a new high-order compact finite volume scheme is derived for the 2D multi-term time fractional sub-diffusion equation. It is shown that the difference scheme is unconditionally convergent and stable in L∞\documentclass[12pt]{minimal}
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\begin{document}$L_{\infty }$\end{document}-norm. The convergence order is O(τ2−α+h14+h24)\documentclass[12pt]{minimal}
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\begin{document}$O(\tau ^{2-\alpha }+h_{1}^{4}+h_{2}^{4})$\end{document}, where τ is the temporal step size and h1\documentclass[12pt]{minimal}
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\begin{document}$h_{1}$\end{document} is the spatial step size in one direction, h2\documentclass[12pt]{minimal}
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\begin{document}$h_{2}$\end{document} is the spatial step size in another direction. Two numerical examples are implemented, testifying to their efficiency and confirming their convergence order.
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