Inverse problems of parabolic equations of hybrid particle swarm optimization

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (16): 35-37.

• 研究、探讨 • Previous Articles Next Articles

Inverse problems of parabolic equations of hybrid particle swarm optimization

MIN Tao，LI Hui，YANG Xiaoli，LU Hongpeng

School of Science，Xi’an University of Technology，Xi’an 710054，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-06-01 Published:2011-06-01

抛物型方程反问题的混合粒子群算法

闵涛，李辉，杨晓莉，卢鸿鹏

西安理工大学理学院，西安 710054

Abstract

Abstract: Particle Swarm Optimization（PSO） is a new optimization technique originating from artificial life and evolutionary computation.The algorithm completes the optimization through following the personal best solution of each particle and the global best value of the whole swarm.PSO can be implemented with ease and few parameters need to be turned.It has been successfully applied in many areas.It can get preferable results in some inverse problems of parabolic equation model’s numerical simulations.The results show that the approach is effective，general and robust.

Key words: swarm intelligence, parabolic equation, evolutionary algorithm, particle swarm optimization, inverse problem

摘要： 粒子群优化算法（PSO）是一种新兴的优化技术，它的思想来源于人工生命和演化计算理论。PSO通过粒子追随自己找到的最好解和整个群的最好解来完成优化。粒子群算法简单容易实现，可调参数少，已经得到了广泛研究和应用。提出了一种结合有限元方法求解偏微分方程反问题的混合粒子群算法，在对多个抛物型方程反问题模型测试的数值模拟中都得到了较好的结果，体现了该算法的有效性、通用性和稳健性。

关键词: 群体职能, 抛物型方程, 演化算法, 粒子群优化, 反问题

MIN Tao，LI Hui，YANG Xiaoli，LU Hongpeng. Inverse problems of parabolic equations of hybrid particle swarm optimization[J]. Computer Engineering and Applications, 2011, 47(16): 35-37.

闵涛，李辉，杨晓莉，卢鸿鹏. 抛物型方程反问题的混合粒子群算法[J]. 计算机工程与应用, 2011, 47(16): 35-37.

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Inverse problems of parabolic equations of hybrid particle swarm optimization

抛物型方程反问题的混合粒子群算法

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