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A nonlinearity lagging for the solution of nonlinear steady state reaction diffusion problems - MaRDI portal

A nonlinearity lagging for the solution of nonlinear steady state reaction diffusion problems (Q391457)

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scientific article; zbMATH DE number 6244254
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A nonlinearity lagging for the solution of nonlinear steady state reaction diffusion problems
scientific article; zbMATH DE number 6244254

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    A nonlinearity lagging for the solution of nonlinear steady state reaction diffusion problems (English)
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    10 January 2014
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    The paper considers a lagged diffusitivity functional iteration (LDFI)-procedure for the solution of a nonlinear steady-state reaction-diffusion problem defined on a two-dimensional bounded domain. The procedure is based on computing the solution by ``lagging'' the diffusion term. A model problem is considered and its finite difference discretisation is constructed and analysed. The results of numerical studies are also presented.
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    lagging diffusivity
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    Newton method
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    arithmetic mean method
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    numerical examples
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    lagged diffusitivity functional iteration
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    nonlinear steady-state reaction-diffusion problem
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