Simulation of one-dimensional Brownian motion by stochastic differential equations

被引:2
|
作者
Muranaka, K
机构
[1] K's Garden Nishioji, Kasuga Hachijo Sagaru, Minami-ku
关键词
Computer simulation - Differential equations - Diffusion - Education - Mathematical models - Physical chemistry - Spreadsheets - Statistical methods;
D O I
10.1021/ed076p994
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Models formulated by stochastic differential equations are more versatile when simulating random processes like Brownian motion. A modern stochastic simulation technique is suggested as a simple, economic and efficient way to teach diffusion process. A simulation program has been written in Microsoft Quick Basic, and can be run by Microsoft QBasic. To analyze and visualize the results of the stochastic simulations, spreadsheets such as Lotus 1-2-3 or Excel are needed. This also gives students an opportunity to learn how to perform basic statistical analyses with a spreadsheet.
引用
收藏
页码:994 / 998
页数:5
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