Homotopy-Newton hybrid method for predicting azeotropes
Dapeng Zhang
Abstract
Dapeng Zhang
Abstract
The homotopy-Newton hybrid method was proposed for predicting azeotropes effectively,in which the homotopy algorithm with the global convergence was used to generate the better initial values,and the Newton algorithm with the higher convergent speed was used to solve the azeotropy equations.The new method was applied to predict the azeotropies of some binary and ternary nonideal mixtures.The result shows that such method is greater in the convergent ranges,better in the iterative smoothness and higher in the convergent speeds.
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The homotopy-Newton hybrid method was proposed for predicting azeotropes effectively,in which the homotopy algorithm with the global convergence was used to generate the better initial values,and the Newton algorithm with the higher convergent speed was used to solve the azeotropy equations.The new method was applied to predict the azeotropies of some binary and ternary nonideal mixtures.The result shows that such method is greater in the convergent ranges,better in the iterative smoothness and higher in the convergent speeds.
Key concepts: Homotopy analysis method, Smoothness, Convergence (economics), Ternary operation, Homotopy, Homotopy perturbation method, Applied mathematics, Mathematics