A modified Landweber iteration for general sideways parabolic equations |
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Authors: | Jin-bo Liu You-jun Deng |
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Institution: | (1) University of Mainz, Mainz, Germany;(2) University of Graz, Graz, Austria;(3) Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany; |
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Abstract: | In this paper, we introduce a modified Landweber iteration to solve the sideways parabolic equation, which is an inverse heat
conduction problem (IHCP) in the quarter plane and is severely ill-posed. We shall show that our method is of optimal order
under both a priori and a posteriori stopping rule. Furthermore, if we use the discrepancy principle we can avoid the selection
of the a priori bound. Numerical examples show that the computation effect is satisfactory. |
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Keywords: | inverse heat conduction problem sideways parabolic equation Landweber iteration discrepancy principle |
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