High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems

We focus on high-accuracy and stable numerical methods for the time-dependent nonlinear advection-diffusion-reaction problems in this work. A novel fourth-order fully implicit compact difference scheme is derived, in which we make use of the fourth-order compact formulas to discretize the diffusion...

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Vydané v:	International journal of computer mathematics Ročník 100; číslo 7; s. 1552 - 1579
Hlavní autori:	Zhang, Lin, Ge, Yongbin, Yang, Xiaojia, Zhang, Yagang
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Abingdon Taylor & Francis 03.07.2023 Taylor & Francis Ltd
Predmet:	Accuracy Advection Advection-diffusion-reaction Algorithms Backward differencing backward differencing formula Energy methods finite difference method multigrid Multigrid methods nonlinear Numerical methods Stability analysis Time dependence
ISSN:	0020-7160, 1029-0265
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