2003•Unpublished venueRequires access

A two-grid scheme of nonlinear convection-dominated diffusion problem

Zhang Guang

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Abstract

A two_grid scheme for characteristic finite differentiation of nonlinear convection_dominated diffusion equations is constructed.To linearize the characteristic equations, a nonlinear system is soved in the coarse grid and the fine grid succesively. The example shows that the new scheme is very efficient to the nonlinear convection_dominated diffusion equations, compared with the same accuracy.

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What this paper is about

A two_grid scheme for characteristic finite differentiation of nonlinear convection_dominated diffusion equations is constructed.To linearize the characteristic equations, a nonlinear system is soved in the coarse grid and the fine grid succesively. The example shows that the new scheme is very efficient to the nonlinear convection_dominated diffusion equations, compared with the same accuracy.

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Available abstract

A two_grid scheme for characteristic finite differentiation of nonlinear convection_dominated diffusion equations is constructed.To linearize the characteristic equations, a nonlinear system is soved in the coarse grid and the fine grid succesively. The example shows that the new scheme is very efficient to the nonlinear convection_dominated diffusion equations, compared with the same accuracy.

Key concepts: Nonlinear system, Convection, Grid, Scheme (mathematics), Diffusion, Convection–diffusion equation, Mathematics, Mathematical analysis

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