Holomorphic embedding method for large-scale reverse osmosis desalination optimization.

ABSTRACT: Large-scale optimal design problems involving nonlinear differential equations are widely applied in modeling such as craft manufacturing, chemical engineering and energy engineering. Herein we propose a fast and flexible holomorphic embedding-based method to solve nonlinear differential equations quickly, and further apply it to handle the industrial application of reverse osmosis desalination. Without solving nonlinear differential equations at each discrete point by a traditional small-step iteration approach, the proposed method determines the solution through an approximation function or approximant within segmented computational domain independently. The results of solving more than 11 million of nonlinear differential equations with various design parameters for the reverse osmosis

SUBMITTER: Chen J 

PROVIDER: S-EPMC11775265 | biostudies-literature | 2025 Jan

REPOSITORIES: biostudies-literature