,A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation

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Based on the homotopy mapping, a globally convergent method of parameter inversion for non-equilibriumconvection-dispersion equations (CDEs) is developed. Moreover, in order to further improve the computationalefficiency of the algorithm, a properly smooth function, which is derived from the sigmoid function, is employedto update the homotopy parameter during iteration. Numerical results show the feature of global convergenceand high performance of this method. In addition, even the measurement quantities are heavily contaminatedby noises, and a good solution can be found.
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