Title | ||
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Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region |
Abstract | ||
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In this paper we consider a numerical approximation of solution of nonhomogeneous backward heat conduction problem (BHCP) in bounded region based on Tikhonov regularization method. Error estimate at t=0 for this method is provided. According to the error estimate, a selection of regularization parameter is given. Meanwhile, a numerical implementation is described and the numerical results show that our algorithm is effective. |
Year | DOI | Venue |
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2008 | 10.1016/j.matcom.2007.11.005 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
tikhonov regularization,conduction problem,tikhonov regularization method,ill-posed problem,error estimate,numerical implementation,numerical approximation,bounded region,regularization parameter,numerical result,backward heat conduction,heat conduction | Tikhonov regularization,Mathematical optimization,Mathematical analysis,Regularization (mathematics),Numerical approximation,Thermal conduction,Approximation error,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
79 | 2 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
4 | 0.87 | 3 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xiao-Li Feng | 1 | 33 | 9.27 |
Zhi Qian | 2 | 41 | 7.81 |
Chu-Li Fu | 3 | 142 | 28.78 |