Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
复制标题
相变模型中前沿的产生和运动的渐近数值研究
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
N. Nefedov
中科院分区：
文献类型：
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作者：
V. Volkov;N. Nefedov
对非线性反应扩散平流方程的移动阵面型解问题提出了一种有效的渐近数值方法。移动前沿位置的空间变量的维数比原问题的每单位维数低。这一事实给出了可能性，以节省计算资源，在数值实验和加快的过程中构造近似解具有适当的精度。
We propose an effective asymptotic-numerical approach to the problem of moving front type solutions in nonlinear reaction-diffusion-advection equations. The dimension of spatial variables for the location of a moving front is lower per unit then the original problem. This fact gives the possibility to save computing resources in numerical experiments and speed up the process of constructing approximate solutions with a suitable accuracy.