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两边空间-时间分数阶扩散方程的加权有限差分格式

马维元 刘华

马维元, 刘华. 两边空间-时间分数阶扩散方程的加权有限差分格式[J]. 华东师范大学学报(自然科学版), 2012, (3): 41-48,70.
引用本文: 马维元, 刘华. 两边空间-时间分数阶扩散方程的加权有限差分格式[J]. 华东师范大学学报(自然科学版), 2012, (3): 41-48,70.
MA Wei-yuan, LIU Hua. Weighted finite difference methods for two-sided space-time fractional diffusion equations[J]. Journal of East China Normal University (Natural Sciences), 2012, (3): 41-48,70.
Citation: MA Wei-yuan, LIU Hua. Weighted finite difference methods for two-sided space-time fractional diffusion equations[J]. Journal of East China Normal University (Natural Sciences), 2012, (3): 41-48,70.

两边空间-时间分数阶扩散方程的加权有限差分格式

详细信息
  • 中图分类号: O241.82

Weighted finite difference methods for two-sided space-time fractional diffusion equations

  • 摘要: 对于空间-时间分数阶扩散方程的初边值问题提出了一种加权差分格式. 利用能量估计, 得到了差分格式的稳定性. 然后使用数学归纳法证明了在相同的条件下, 所提出的的格式是收敛的. 最后通过一个例子说明了所提出的格式是可靠的、有效的.
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    Mathematics, 2010, 233(8): 1905-1914.
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出版历程
  • 收稿日期:  2011-03-01
  • 修回日期:  2011-06-01
  • 刊出日期:  2012-05-25

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