Characteristic Line Based Schemes for Solving a Quasilinear Hierarchical Size-Structured Model

Tchavdar T. Marinov; Keng Deng

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Characteristic Line Based Schemes for Solving a Quasilinear Hierarchical Size-Structured Model

机译：基于特征线的方案，用于解决拟线性分级大小结构模型

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New schemes, based on the characteristics line method, for solving a hierarchical size-structured model with nonlinear growth, mortality and reproduction rate are developed. The idea of the schemes is not to follow the characteristics from the initial condition, but for each time-step to find the origins of the grid nodes at the previous time level. Numerical tests, including comparison with exact solutions for the new schemes, are elaborated. Numerical results that confirm the theoretical order of convergence of the new schemes are presented.

机译：基于特征线法的新方案，用于解决具有非线性增长，死亡率和繁殖率的分级大小结构模型。该方案的思想不是遵循初始条件的特征，而是针对每个时间步长，以找到先前时间级别的网格节点的起源。详细阐述了数值测试，包括与新方案的精确解决方案的比较。数值结果证实了新方案收敛的理论顺序。

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来源
《Journal of Scientific Computing》 |2011年第3期|p.452-469|共18页
作者
Tchavdar T. Marinov; Keng Deng;
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作者单位

Department of Natural Sciences, Southern University at New Orleans, New Orleans, LA 70126, USA;

Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA;

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正文语种 eng
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关键词
size-structured population dynamics; characteristic lines; quadratures; difference scheme;

机译：规模结构的人口动态;特征线正交差异方案;

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4. Characteristic Line Scheme for Hierarchical Size-structured Model with Nonlinear Growth, Mortality and Reproduction Rates [C] . Tch. Marinov, K. Deng International Conference on Application of Mathematics in Technical and Natural Sciences . 2009

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Characteristic Line Based Schemes for Solving a Quasilinear Hierarchical Size-Structured Model

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