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On the lagged diffusivity method for the solution of nonlinear finite difference systems (Q1657046)

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scientific article; zbMATH DE number 6916747
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English
On the lagged diffusivity method for the solution of nonlinear finite difference systems
scientific article; zbMATH DE number 6916747

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    On the lagged diffusivity method for the solution of nonlinear finite difference systems (English)
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    13 August 2018
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    Summary: 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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    lagged diffusivity method
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    diffusion equations
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    finite-difference discretizations
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    blow-up solutions
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