Numerical solution of nonlinear cross-diffusion systems by a linear scheme

机译：线性方案非线性交叉扩散系统的数值解

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This paper introduces a linear scheme to approximate the solutions of the general nonlinear cross-diffusion system. After discretizing the scheme in space, we obtain a versatile, easy to implement and stable numerical scheme for the cross-diffusion system. Numerical experiments are carried out to examine rates of convergence with respect to the time step and the spatial mesh sizes.

机译：本文介绍了一种线性方案，以近似通用非线性交叉扩散系统的解决方案。在空间中离散方案之后，我们获得了通用，易于实现和稳定的交叉扩散系统的数值方案。进行数值实验，以研究时间步长和空间网格尺寸的收敛速度。

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《MSJ-SI International Conference "Nonlinear Dynamics in Partial Differential Equations"》|2015年||共9页
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Hideki Murakawa;
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中图分类 O175.2-532;
关键词
cross-diffusion system; scheme in space; spatial mesh sizes;

机译：交叉扩散系统;太空方案;空间网格尺寸;

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专利

1. Analysis and numerical solution of a nonlinear cross-diffusion system arising in population dynamics [J] . G. Galiano, M. L. Garzon, A. Juengel Revista de la Real Academia de Ciencias. A, Matematicas . 2001,第2期

机译：种群动态中非线性交叉扩散系统的分析与数值解
2. A linear scheme to approximate nonlinear cross-diffusion systems [J] . Murakawa H. RAIRO. Mathematical Modelling and Numerical Analysis. = Modelisation Mathematique et Analyse Numerique . 2011,第6期

机译：近似非线性交叉扩散系统的线性方案
3. Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model [J] . Galiano G., Garzon ML., Jungel A. Numerische Mathematik . 2003,第4期

机译：非线性交叉扩散种群模型的时间半离散和解的数值收敛
4. Numerical solution of nonlinear cross-diffusion systems by a linear scheme [C] . Hideki Murakawa MSJ-SI International Conference "Nonlinear Dynamics in Partial Differential Equations" . 2015

机译：线性方案非线性交叉扩散系统的数值解
5. Integrated formulation-solution-design scheme for nonlinear multidisciplinary systems using the MIXEDMODELS platform [D] . Vaze, Shilpa Arun 2007

机译：使用MIXEDMODELS平台的非线性多学科系统的集成配方解决方案设计方案
6. Numerical Solutions of the Nonlinear Fractional-Order Brusselator System by Bernstein Polynomials [O] . Hasib Khan, Hossein Jafari, Rahmat Ali Khan, -1

机译：非线性分数阶Brusselator系统的Bernstein多项式数值解
7. A linear scheme to approximate nonlinear cross-diffusion systems [O] . Murakawa Hideki 2011

机译：近似非线性交叉扩散系统的线性方案
8. Proceedings of the International Conference. Analysis and Numerical Computationof Solutions of Nonlinear Systems Modeling Physical Phenomena, Especially: Nonlinear Optics, Inverse Problems, Mathematical Material Sciences and Theoretical Fluid Mechanics [R] . 1997

机译：国际会议记录。非线性系统物理现象建模解的分析与数值计算，特别是：非线性光学，反问题，数学材料科学和理论流体力学

Numerical solution of nonlinear cross-diffusion systems by a linear scheme

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