Title | ||
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A posteriori regularization parameter choice rule for the quasi-boundary value method for the backward time-fractional diffusion problem. |
Abstract | ||
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In this paper, we consider a backward problem for a time-fractional diffusion equation with variable coefficients in a general bounded domain. That is to determine the initial data from a noisy final data. We propose a quasi-boundary value regularization method combined with an a posteriori regularization parameter choice rule to deal with the backward problem and give the corresponding convergence estimate. |
Year | DOI | Venue |
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2013 | 10.1016/j.aml.2013.02.006 | Applied Mathematics Letters |
Keywords | Field | DocType |
Backward problem,Fractional diffusion equation,Quasi-boundary value method,Convergence analysis,A posteriori parameter choice rule | Convergence (routing),Mathematical optimization,Mathematical analysis,A priori and a posteriori,Regularization (mathematics),Boundary value methods,Fractional diffusion,Diffusion equation,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
26 | 7 | 0893-9659 |
Citations | PageRank | References |
4 | 0.52 | 4 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jun-Gang Wang | 1 | 4 | 1.88 |
Yubin Zhou | 2 | 29 | 5.13 |
T. Wei | 3 | 87 | 18.96 |