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考虑化学反应动力学模型,设三种化学物质的浓度随时间变化的函数为y1(t),y2(t),y(t),则浓度由下列方程给出
其中k1和k2是两个反应的速度常数,假定初始浓度为y1(0)=y2(0)=y3(0)=1.取k1=1,分别用k2=10,100,1000进行试验.对每个k2,分别用四阶R-K方法,四阶阿当姆斯预测-校正法及梯形法求解,针对不同步长,比较各种方法的精度和稳定性.从t=0开始计算到近似稳定状态或可以明显看出解不稳定或方法无效为止.
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