On a Neumann boundary value problem for the Painleve II equation in two-ion electro-diffusion

被引：10
作者：
Amster, Pablo [2 ]
Kwong, Man Kam [1 ]
Rogers, Colin [1 ,3 ]
机构：
[1] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
[2] Univ Buenos Aires, Dipartimento Matemat, Buenos Aires, DF, Argentina
[3] Univ New S Wales, Australian Res Council Ctr & Excellence Math & St, Sch Math & Stat, Sydney, NSW, Australia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 09期
关键词：
Boundary value problems; Neumann conditions; Unconventional boundary conditions; Painleve equation; Electro-diffusion; ION ELECTRODIFFUSION; STEADY ELECTROLYSIS;
D O I：
10.1016/j.na.2010.06.063
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A two-point Neumann boundary value problem for a two-ion electro-diffusion model reducible to the Painleve II equation is investigated. The problem is unconventional in that the model equation involves yet-to-be-determined boundary values of the solution. In prior work by Thompson, the existence of a solution was established subject to an inequality on the physical parameters. Here, a two-dimensional shooting method is used to show that this restriction may be removed. A practical algorithm for the solution of the boundary value problem is presented in an appendix. (c) 2010 Elsevier Ltd. All rights reserved.
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页码：2897 / 2907
页数：11
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