Schnakenberg方程解的渐近分析  

Asymptotic Analysis of the Solution of Schnakenberg Equation

作　　者：卢祥虎 张艳丹[1] 江新华[1] 

机构地区：[1]北京化工大学理学院,北京100029

出　　处：《数学计算（中英文版）》2014年第2期68-75,共8页Mathematical Computation

摘　　要：本文主要讨论了Schnakenberg方程组的初值问题，首先用多重尺度方法求得Schnakenberg方程组的一阶近似解，然后利用非线性的Gronwall不等式对所求结果进行误差估计。This paper studied the initial value problem of the Schnakenberg equations. The first-order approximate solution was obtained by using two-timing scales method, and then error estimate was obtained with the use of a nonlinear Gronwall inequality to show that the obtained approximate solution is uniformly valid for 0≤ε≤ε0,0 ≤εt ≤ T.

关 键 词：Schnakenberg方程 初值问题 多重尺度方法 误差估计 

分 类 号：O241[理学—计算数学]