A homotopy-Newton hybrid method is proposed for predicting azeotropes, in which the set of homotopy equations with larger convergent domain is solved firstly to generate the better initial guess, then Newton algorithm...A homotopy-Newton hybrid method is proposed for predicting azeotropes, in which the set of homotopy equations with larger convergent domain is solved firstly to generate the better initial guess, then Newton algorithm is used to solve the azeotrope equations. It has been proved through some illustrative examples that the hybrid method has concurrently the advantages of the wide range of convergence, flexible demand for initial guess and good smoothness of iterative process as the homotopy algorithm, and the rapid convergent speed and high accuracy as Newton′s method. So the hybrid method is a prospective approach to predicting the azeotropes of nonideal mixtures.展开更多
文摘A homotopy-Newton hybrid method is proposed for predicting azeotropes, in which the set of homotopy equations with larger convergent domain is solved firstly to generate the better initial guess, then Newton algorithm is used to solve the azeotrope equations. It has been proved through some illustrative examples that the hybrid method has concurrently the advantages of the wide range of convergence, flexible demand for initial guess and good smoothness of iterative process as the homotopy algorithm, and the rapid convergent speed and high accuracy as Newton′s method. So the hybrid method is a prospective approach to predicting the azeotropes of nonideal mixtures.
