论文标题
趋化模型的校正后脱钩方案
A corrected decoupled scheme for chemotaxis models
论文作者
论文摘要
本文的主要目的是提出一种新的校正后的解耦方案以及用于趋化模型的空间有限体积方法。首先，我们得出了在胚胎学中产生的抛物线 - 涡旋趋化模型的方案。然后，我们确定数值解的存在和唯一性，并证明它会收敛到研究模型的相应弱解。在最后一部分中，通过将我们的方法应用于许多趋化系统来提出几个数值测试。获得的数值结果证明了拟议方案的效率及其捕获不同形式的空间模式的有效性。
The main purpose of this paper is to present a new corrected decoupled scheme combined with a spatial finite volume method for chemotaxis models. First, we derive the scheme for a parabolic-elliptic chemotaxis model arising in embryology. We then establish the existence and uniqueness of the numerical solution, and we prove that it converges to a corresponding weak solution for the studied model. In the last section, several numerical tests are presented by applying our approach to a number of chemotaxis systems. The obtained numerical results demonstrate the efficiency of the proposed scheme and its effectiveness to capture different forms of spatial patterns.
