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A SINGLESTEP CHARACTERISTIC FINITE DIFFERENCE METHOD FOR TWO-DIMENSIO NALNON LINEAR CONVECTION-DIFFUSIONPROBLEMS

A SINGLESTEP CHARACTERISTIC FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL NONLINEAR CONVECTION-DIFFUSION PROBLEMS
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摘要 A singlestep characteristic finite difference method is given based on the linear and quadratic interpolations for solving two-dimensional nonlinear convection-diffusionproblems. The convergence of approximate solutions is obtained in L2 under milder restrictions in the temporal stepsize and spatial stepsize than those required in [1]. A singlestep characteristic finite difference method is given based on the linear and quadratic interpolations for solving two-dimensional nonlinear convection-diffusionproblems. The convergence of approximate solutions is obtained in L2 under milder restrictions in the temporal stepsize and spatial stepsize than those required in [1].
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1999年第S1期110-121,共12页
关键词 Two-dimensional nonlinear CONVECTION-DIFFUSION PROBLEMS a singlestep CHARACTERISTIC DIFFERENCE method CONVERGENCE error estimate. Two-dimensional nonlinear convection-diffusion problems, a singlestep characteristic difference method, convergence error estimate.
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