A High Accuracy Compact Difference on Non-uniform Grid for 2D Convection Diffusion Reaction Equation

机译：二维对流扩散反应方程的非均匀网格上的高精度紧致差分

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By use of the method of dimension reduction, the two-dimensional convection diffusion reaction equation is firstly divided into the sum of two one-dimensional convection diffusion reaction equations. Based on the Taylor progression on non-uniform grid, a high accuracy compact difference for one-dimensional convection diffusion reaction equation is proposed. Finally, we combine the two compact differences for one-dimensional convection diffusion reaction equation to get the high accuracy compact difference for two-dimensional convection diffusion reaction equation. The numerical experiment shows that the present scheme are much more accuracy than that in uniform grid with the same number of grid points.

机译：利用降维方法，首先将二维对流扩散反应方程式分解为两个一维对流扩散反应方程式的总和。基于非均匀网格上的泰勒级数，提出了一维对流扩散反应方程的高精度紧致差分。最后，我们将一维对流扩散反应方程的两个紧致差组合起来，得到了二维对流扩散反应方程的高精度紧致差。数值实验表明，与具有相同网格点数的均匀网格相比，该方案具有更高的精度。

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《2010 International Symposium on Computational Intelligence and Design》|2010年|p.230-233|共4页
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Zhang Zuogang; Wei Haiyan; Feng Changli;
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中图分类人工智能理论;
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2D convection diffusion reaction equation; high-order compact difference; non-uniform grid;

机译：二维对流扩散反应方程;高阶紧致差分;网格不均匀;

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1. A High-order Compact Difference Scheme For 2d Laplace And Poisson Equations In Non-uniform Grid Systems [J] . Xuan Wang, Zhifeng Yang, Gordon Huang, Communications in Nonlinear Science and Numerical Simulation . 2009,第2期

机译：非均匀网格系统中二维Laplace和Poisson方程的高阶紧致差分格式
2. Second Order Monotone Difference Schemes with Approximation on Non-Uniform Grids for Two-Dimensional Quasilinear Parabolic Convection-Diffusion Equations [J] . Hieu Le M., Thanh Dang N. H., Prasath V. B. Surya Vestnik, St. Petersburg University. Mathematics . 2020,第2期

机译：二阶单间差分方案，具有关于二维Quasilinear抛物线对流 - 扩散方程的非均匀网格的近似
3. Efficient compact finite difference methods for a class of time-fractional convection-reaction-diffusion equations with variable coefficients [J] . Wang Yuan-Ming, Ren Lei International journal of computer mathematics . 2019,第1a4期

机译：一类时变系数对流-反应-扩散方程的有效紧致有限差分方法
4. A High Accuracy Compact Difference on Non-uniform Grid for 2D Convection Diffusion Reaction Equation [C] . Zhang Zuogang, Wei Haiyan, Feng Changli International Symposium on Computational Intelligence and Design . 2010

机译：用于2D对流扩散反应方程的非均匀网格的高精度差异
5. Metastable dynamics of convection-diffusion-reaction equations. [D] . Sun, Xiaodi. 1998

机译：对流扩散反应方程的亚稳态动力学。
6. A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces [O] . Varun Shankar, Grady B. Wright, Robert M. Kirby, -1

机译：径向基函数（RBF）-有限差分（FD）方法求解表面扩散和反应扩散方程
7. A Fourth Order Compact Difference Scheme on Face Centered Cubic Grids with Multigrid Method for Solving 2D Convection Diffusion Equation [O] . Haiwei Sun, Ning Kang, Jun Zhang, 2002

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8. Coupling mixed and finite volume discretizations of convection-diffusion-reaction211 equations on non-matching grids [R] . Lazarov, R., Pasciaic, J., Vassilevski, P. 1999

机译：在非匹配网格上耦合对流 - 扩散 - 反应211方程的混合和有限体积离散

A High Accuracy Compact Difference on Non-uniform Grid for 2D Convection Diffusion Reaction Equation

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