Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems
Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems
复制标题
DOI：
10.14492/hokmj/1350911871
复制
发表时间：
2002-02
影响因子：
0.5
通讯作者：
E. Nakaguchi;A. Yagi
中科院分区：
文献类型：
--
作者：
E. Nakaguchi;A. Yagi
研究拟线性抛物型方程组的全离散逼近。基于Galerkin和Runge-Kutta方法给出了一种全离散格式，并利用半群方法证明了该格式的稳定性和误差估计。首先，我们的结果表明，在生物中产生的趋化生长系统，然后这些推广到拟线性抽象抛物型发展方程。
We study fully discrete approximation of quasilinear parabolic systems. Presenting a full discretization scheme based on the Galerkin and the Runge-Kutta methods, we establish the stability and the error estimate of the scheme by means of the semigroup method. First our results are stated for a chemotaxis-growth system arising in biology, then those are generalized to quasilinear abstract parabolic evolution equations.