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Explicit Solution of Nonlinear Electrochemical Models by the Decomposition Method
Author(s) -
Cheng M.,
Scott K.,
Sun Y.,
Wu B.
Publication year - 2002
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/1521-4125(20021210)25:12<1155::aid-ceat1155>3.0.co;2-a
Subject(s) - nonlinear system , ordinary differential equation , partial differential equation , basis (linear algebra) , mathematics , decomposition , electrochemistry , differential equation , mathematical optimization , mathematical analysis , chemistry , physics , electrode , geometry , organic chemistry , quantum mechanics
Many models of electrochemical problems are based on non‐linear differential equations, either ordinary or partial, and are usually solved by numerical methods. An explicit solution, without excessively complicated formula, can bring great benefits to the analysis of the performance of the practical system under study and to improve the related model. In recent years, non‐linear theories and methods have developed very fast in physics and mathematics and these supply a solid basis to pursue explicit solutions of non‐linear electrochemical models.