Convergence of numerical solutions to stochastic age-structured population equations with diffusions and Markovian switching

Convergence of numerical solutions to stochastic age-structured population equations with diffusions and Markovian switching
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DOI:
10.1016/j.amc.2010.01.073
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发表时间:
2010-04
期刊:
Appl. Math. Comput.
影响因子:
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通讯作者:
Ronghua Li;Wan-Kai Pang;P. Leung
Ronghua Li;Wan-Kai Pang;P. Leung
中科院分区:
其他
文献类型:
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作者:
Ronghua Li;Wan-Kai Pang;P. Leung

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本文考虑了一类具有扩散和马尔可夫开关的随机年龄结构人口方程。大多数方程是非线性的,不能显式求解,因此构造有效的计算方法是非常重要的。本文的主要目的是发展一个数值格式,并研究数值逼近的收敛性。最后给出了一个例子。
In this paper, it is considered for a class of stochastic age-structured population equations with diffusions and Markovian switching. Most kind of equations are nonlinear and cannot be solved explicitly, so the construction of efficient computational methods is of great importance. The main aim of this paper is to develop a numerical scheme and investigate the convergence of numerical approximation. An example is given for illustration.