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Algorithms 2017, 10(3), 88; https://doi.org/10.3390/a10030088

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.
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)
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Abstract

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

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