Stability Analysis of the Solution of the One-dimensional Richards Equation by the Finite Difference Method

机译：有限差分法稳定性分析一维理查德方程求解

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The solution by the Finite Difference Method of the Richards equation written as a function of the degree of saturation of the domain and the matrix potential is obtained and the convergence of the solutions is analyzed. The necessary time and spatial sizes for convergence are obtained and established.

机译：通过作为域的饱和度的函数写入的理查兹方程的有限差分方法的解决方案，分析了溶液的收敛性。获得并建立了收敛的必要时间和空间尺寸。

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《International Conference of Numerical Analysis and Applied Mathematics》|2016年|various paging|共4页
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作者
Hector A. Pedrozo; Mario R. Rosenberger; Carlos E. Schvezov;
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原文格式 PDF
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中图分类 TB9-53;
关键词
Finite difference method; Soil infiltration; Porous media;

机译：有限差分法;土壤渗透;多孔介质;

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1. An L ~∞ stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes [J] . Huang W., Schaeffer F. Journal of Computational and Applied Mathematics . 2012,第13期

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2. Implicit Finite Difference Solution of One-Dimensional Porous Medium Equations Using Half-Sweep Newton-Explicit Group Iterative Method [J] . J.V.L. Chew, J. Sulaiman Journal of Engineering & Applied Sciences . 2018,第5期

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3. Numerical solution of the one-dimensional Burgersa€? equation: Implicit and fully implicit exponential finite difference methods [J] . Ahmet Refik Bahadir, Bilge Inan1 Pramana . 2013,第4期

机译：一维Burgersa的数值解方程：隐式和完全隐式指数有限差分方法
4. Stability Analysis of the Solution of the One-dimensional Richards Equation by the Finite Difference Method [C] . Hector A. Pedrozo, Mario R. Rosenberger, Carlos E. Schvezov International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：有限差分法稳定性分析一维理查德方程求解
5. Efficient mesh truncation techniques for the solution of Maxwell's equations using the finite-difference time domain method. [D] . Veihl, Jonathon Casimir. 1996

机译：使用有限差分时域法求解麦克斯韦方程组的高效网格截断技术。
6. Stability Analysis of the Explicit Difference Scheme for Richards Equation [O] . Fengnan Liu, Yasuhide Fukumoto, Xiaopeng Zhao 2020

机译：理查兹方程明确差分方案的稳定性分析
7. An L∞ stability analysis for the finite-difference solution of one-dimensional linear convection–diffusion equations on moving meshes [O] . Huang Weizhang, Schaeffer Forrest 2012

机译：运动网格上一维线性对流扩散方程有限差分解的L∞稳定性分析
8. An Investigation of the Method of Finite Elements with Accuracy Comparisons to the Method of Finite Differences for Solution of the Transient Heat Conduction Equation Using Optimum Implicit Formulations. [R] . geneczko,joseph c. 1978

机译：用最优隐式公式求解瞬态热传导方程有限差分法精度有限元法的研究。

Stability Analysis of the Solution of the One-dimensional Richards Equation by the Finite Difference Method

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