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Issue 3
May  2012
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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.

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

  • Received Date: 2011-03-01
  • Rev Recd Date: 2011-06-01
  • Publish Date: 2012-05-25
  • A weighted finite difference scheme was proposed in order to solve initial-boundary value problems of space-time fractional diffusion equations. Their stability was analyzed by means of discrete energy method. Using mathematical induction, we proved that the scheme was convergent under the same condition. Illustrative example was included to demonstrate the validity and applicability of the scheme.
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