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.
On the Lagged Diffusivity Method for the solution of nonlinear finite difference systems / Mezzadri, Francesco; Galligani, Emanuele. - In: ALGORITHMS. - ISSN 1999-4893. - 10:3(2017), pp. 1-19. [10.3390/a10030088]
On the Lagged Diffusivity Method for the solution of nonlinear finite difference systems
Mezzadri, Francesco
;Galligani, Emanuele
2017
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.
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