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.

引用

页码：2897 / 2907

页数：11

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