The Mathematical Simulation of the Liquid Transport in a Multilayered Nonwoven

Čiegis, Raimondas; Zemitis, A.

doi:10.3846/13926292.1997.9637063

Search citation statements

Order By: Relevance

Paper Sections

Select...

Problem Formulation Aim Of the Research1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2000

2011

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that various types of such conditions are formulated in mathematical models describing flows in porous media (including the discontinuous solutions on interfaces); see, e.g., [2] in the case of the stationary interface boundary.…”

Section: Problem Formulation Aim Of the Researchmentioning

confidence: 99%

A Numerical Method for a Stefan-Type Problem

Шишкин

Shishkina

Cronin

et al. 2011

Mathematical Modelling and Analysis

View full text Add to dashboard Cite

A Stefan-type problem is considered. This is an initial-boundary value problem on a composite domain for a parabolic reaction-diffusion equation with a moving interface boundary. At the moving boundary between the two subdomains, an interface condition is prescribed for the solution of the problem and its derivatives. A finite difference scheme is constructed that approximates the initial-boundary value problem. An iterative Newton-type method for the solution of the difference scheme and a numerical method for the analysis of the errors of the computed discrete solutions are both developed. Keywords:Stefan-type problem, initial-boundary value problem, composite domain, parabolic reaction-diffusion equation, moving interface boundary, finite difference scheme, iterative Newton-type method.

show abstract

Section: Problem Formulation Aim Of the Researchmentioning

confidence: 99%