Numerical solution of a nonlocal identification problem for nonlinear ion transport

A numerical method for the solution of a parameter identification problem in a nonlinear non-self-adjoint two-point boundary value problem with an additional nonlocal condition defining the parameter is presented. The equation arises in the modelling of an experiment known as chronoamperometry for t...

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Vydáno v:Computers & mathematics with applications (1987) Ročník 39; číslo 7; s. 225 - 235
Hlavní autoři: Hasanov, A., Mueller, J.L., Cohn, S., Redepenning, J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 01.04.2000
Témata:
Chronoamperometry
Mass and charge transport
Nonlocal identification problem
α-bisection algorithm
Nonlocal identification problem
α-bisection algorithm
Mass and charge transport
Chronoamperometry
ISSN:0898-1221, 1873-7668
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Abstract A numerical method for the solution of a parameter identification problem in a nonlinear non-self-adjoint two-point boundary value problem with an additional nonlocal condition defining the parameter is presented. The equation arises in the modelling of an experiment known as chronoamperometry for the study of kinetics and mass-transfer in electrochemical events. The algorithm is based on the reformulation of the identification problem as a nonlinear fixed-point problem involving the concentration flux of the reduced species. The linearized boundary value problem is shown to have a unique solution with the unknown parameter uniquely determined by the flux. The linearized BVP is solved using finite differences and the fixed-point is found using the α-bisection method. The results of computational experiments are presented and their physical significance is discussed.
AbstractList A numerical method for the solution of a parameter identification problem in a nonlinear non-self-adjoint two-point boundary value problem with an additional nonlocal condition defining the parameter is presented. The equation arises in the modelling of an experiment known as chronoamperometry for the study of kinetics and mass-transfer in electrochemical events. The algorithm is based on the reformulation of the identification problem as a nonlinear fixed-point problem involving the concentration flux of the reduced species. The linearized boundary value problem is shown to have a unique solution with the unknown parameter uniquely determined by the flux. The linearized BVP is solved using finite differences and the fixed-point is found using the α-bisection method. The results of computational experiments are presented and their physical significance is discussed.
Author Redepenning, J.
Mueller, J.L.
Cohn, S.
Hasanov, A.
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  organization: Department of Chemistry, University of Nebraska Lincoln, NE 68588, U.S.A
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Cites_doi 10.1142/S0218202595000176
10.1137/S0036139994267493
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Issue 7
Keywords Nonlocal identification problem
α-bisection algorithm
Mass and charge transport
Chronoamperometry
Language English
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Snippet A numerical method for the solution of a parameter identification problem in a nonlinear non-self-adjoint two-point boundary value problem with an additional...
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SubjectTerms Chronoamperometry
Mass and charge transport
Nonlocal identification problem
α-bisection algorithm
Title Numerical solution of a nonlocal identification problem for nonlinear ion transport
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