一维Gray-Scott自催化系统中模式的运动
Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension
AI总结：
研究了一维Gray-Scott自催化系统中初始脉冲的自复制占据行为，提出两种不同方法求解初始-边界值问题，通过数值模拟展示单个初始脉冲、非或慢占据模型及双初始脉冲覆盖域的模拟结果。
摘要：
对区间内自复制初始脉冲的占据行为进行数值研究。提出了两种不同类别的近似方法，用于求解某些初始-边界值问题的数值解。将sinc差分四阶方法与第三到第四阶隐式Rosenbrock方法及指数B-样条摄动方法结合，以获得所提及问题的数值解。通过所提出的方法展示了包含单个初始脉冲占据、非或慢占据模型以及双初始脉冲覆盖域的数值模拟结果。
英文摘要：
Occupation of an interval by self-replicating initial pulses is studied numerically. Two different approximates in different categories are proposed for the numerical solutions of some initial-boundary value problems. The sinc differential quadrature combined with third-fourth order implicit Rosenbrock and exponential B-spline collocation methods are setup to obtain the numerical solutions of the mentioned problems. The numerical simulations containing occupation of single initial pulse, non or slow occupation model and covering the domain with two initial pulses are demonstrated by using both proposed methods.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
