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The noise image is decomposed into the unknown true image u and the noise v by a new image de-noising method based on image decomposition. The common decomposition models are all dense and can only be transformed into high-order partial differential equations to solve, which are heavy computations. DT model and the Jiang model are sparse image decomposition models. A new image de-noising model based...
This paper presents a detailed analytical solution for a mathematical model of Emulsion Liquid Membrane (ELM) extracting hazard metal from waste water. By solving the resulting simultaneous partial differential equations using the Laplace transform method, we obtain formulas for solute (hazard metal) concentration in external phase (waste water) versus time, solute concentration profile inside the...
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