Numerical solution of an inverse problem for a two-dimensional mathematical model of sorption dynamics

被引：3

作者：

S. R. Tuikina

S. I. Solov’eva

机构：

[1] Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow

来源：

Computational Mathematics and Modeling | 2012年 / 23卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

inverse problem; mathematical sorption model; numerical methods;

D O I：

10.1007/s10598-012-9115-4

中图分类号：

学科分类号：

摘要：

We consider a two-dimensional mathematical model of sorption that allows for inner-diffusion kinetics as well as longitudinal and transverse diffusion. The inverse problem of determining the sorption isotherm from an experimental dynamic output curve is investigated for this model and stable solution methods are proposed for the inverse and the direct problem. The efficiency of the solution methods is explored in computer experiments. © 2012 Springer Science+Business Media, Inc.

引用

页码：34 / 41

页数：7

共 6 条

[1] Zolotarev P.P., Problems of the theory of sorption dynamics and fixed-layer chromatography, Zh. F. Kh, 59, 6, pp. 1342-1351, (1985)
[2] Buikis A., Rusakevich Z., Ulanova N., Modelling of the convective diffusion process with nonlinear sorption in multi-layered aquifer, Transport in Porous Media, 19, pp. 1-13, (1995)
[3] Denisov A.M., Unique solvability of some inverse problems for nonlinear models of sorption dynamics, Conditionally Well-Posed Problems of Mathematical Physics and Analysis, pp. 73-84, (1992)
[4] Tuikina S.R., Solov'eva S.I., Numerical determination of coefficients in some mathematical models of nonisothermal sorption dynamics, Prikl. Matem. Informatika, 33, pp. 5-12, (2009)
[5] Tuikina S.R., Solving some inverse problems of sorption dynamics by gradient methods, Vest. MGU, ser. 15, Vychisl. Matem. Kibern, 4, pp. 33-39, (1990)
[6] Samarskii A.A., Theory of Difference Schemes [in Russian], (1983)

← 1 →