In order to reconstruct the initial value of non-constant transport one-dimensional river water pollutant,Landweber iteration was designed to inverse the initial value of pure diffusion and convection-diffusion examples,appending several measured values. The results show that the proposed algorithm can reconstruct the initial distribution of the pollutant effectively with good robustness. When the measured value consists of a larger measurement error,the algorithm can still reconstruct the numerical results...
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