Application of Homotopy-Newton Hybrid Method for Predicting Azeotropes  

作　　者：宋海华 宋高鹏 张大鹏 

机构地区：[1]School of Chemical Engineering and Technology, Tianjin University

出　　处：《Transactions of Tianjin University》2006年第5期355-358,共4页天津大学学报（英文版）

摘　　要：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.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.

关 键 词：homotopy-Newton hybrid method AZEOTROPE PREDICTION 

分 类 号：TQ013.1[化学工程]