Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
512347 | Engineering Analysis with Boundary Elements | 2014 | 10 Pages |
Abstract
In this paper, we consider a Cauchy problem of one-dimensional time fractional diffusion equation for determining the Cauchy data at x=1 from the Cauchy data at x=0. Based on the separation of variables and Duhamel's principle, we transform the Cauchy problem into a first kind Volterra integral equation with the Neumann data as an unknown function and then show the ill-posedness of problem. Further, we use a boundary element method combined with a generalized Tikhonov regularization to solve the first kind integral equation. The generalized cross validation choice rule is applied to find a suitable regularization parameter. Three numerical examples are provided to show the effectiveness and robustness of the proposed method.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
T. Wei, Z.Q. Zhang,