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| Gradient-Regularization Method to Solve the Inverse Problems of Differential Equation |
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| DOI：10.7511/jslx19912018 |
| KeyWord:differential equation,inverse problem,gradient,regularization |
| Tang Limin |
Tang Limin (Dalian University of Technology)
Zhang Wenfei Liu Yingxi(Daqing Petroleum Institute)
(Dalian University of Technology)
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| Abstract: |
| On the basis of previous works, here we propose a general approach tosolve the inverse problems of differential equation--Gradient-Regularizationmethod. Using the GR method, we consider the inverse problems from two aspects, one is how to get the gradient matrix of supplementary conditions to unkown parameters, another is how to solve the Ill-posed linear algebraic equations. The GR method has considered the generality of inverse problems and no special constriants is added. So it can be used to solve various kinds of inverse problems. |
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