Abstract | ||
---|---|---|
In this paper, a one-dimensional backward heat conduction problem is investigated. It is well known that such problem is ill-posed. Some filter regularization methods are used to solve it. Convergence estimates under two a-priori bound assumptions for the exact solution are given based on the conditional stabilities. Finally, numerical examples are given to show that our used numerical methods are effective and stable. |
Year | DOI | Venue |
---|---|---|
2011 | 10.1016/j.amc.2011.05.038 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Backward heat conduction problem,Filter regularization methods,Convergence estimates,Conditional stabilities | Convergence (routing),Exact solutions in general relativity,Mathematical optimization,Mathematical analysis,Regularization (mathematics),Thermal conduction,Numerical analysis,Numerical linear algebra,Mathematics,Numerical stability | Journal |
Volume | Issue | ISSN |
217 | 24 | 0096-3003 |
Citations | PageRank | References |
4 | 0.68 | 3 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hai-Hua Qin | 1 | 8 | 1.97 |
T. Wei | 2 | 87 | 18.96 |