Next Article in Journal
Local Community Detection Based on Small Cliques
Previous Article in Journal / Special Issue
On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich’s Technique
Open AccessArticle

On the Lagged Diffusivity Method for the Solution of Nonlinear Finite Difference Systems

1
Department of Mechanical Engineering, University of Wisconsin-Madison, Madison WI 53706-1572, USA
2
Department of Engineering “Enzo Ferrari”, University of Modena and Reggio Emilia, via P. Vivarelli 10/1, building 26, I-41125 Modena, Italy
*
Author to whom correspondence should be addressed.
Algorithms 2017, 10(3), 88; https://doi.org/10.3390/a10030088
Received: 31 May 2017 / Revised: 23 July 2017 / Accepted: 26 July 2017 / Published: 2 August 2017
(This article belongs to the Special Issue Numerical Algorithms for Solving Nonlinear Equations and Systems 2017)
In this paper, we extend the analysis of the Lagged Diffusivity Method for nonlinear, non-steady reaction-convection-diffusion equations. In particular, we describe how the method can be used to solve the systems arising from different discretization schemes, recalling some results on the convergence of the method itself. Moreover, we also analyze the behavior of the method in case of problems presenting boundary layers or blow-up solutions. View Full-Text
Keywords: lagged diffusivity method; diffusion equations; finite-difference discretizations; blow-up solutions lagged diffusivity method; diffusion equations; finite-difference discretizations; blow-up solutions
Show Figures

Figure 1

MDPI and ACS Style

Mezzadri, F.; Galligani, E. On the Lagged Diffusivity Method for the Solution of Nonlinear Finite Difference Systems. Algorithms 2017, 10, 88.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

1
Back to TopTop