摘要
生物斑图中反应扩散模型数值解及其参数反演的研究是非常有趣和重要的.主要以生物斑图中Gray-Scott模型为研究对象,对其正、反问题进行研究,提出了一种新的算法-DE-ME算法,并通过数值算例模拟验证了其在求解Gray-Scott模型参数反演问题中的可行性及有效性.结果表明此混合算法能快速有效地解决此类反应扩散模型参数反演问题.
The study of numerical solution of reaction-diffusion model in the biological pattern and its parameters inversion is very interesting and important.This paper mainly Investigates positive and inverse problem of Gray-Scott model in biological pattern and proposes a new algorithm-DE-ME algorithm.Beside,the feasibility and effectiveness of algorithm is verified by a numerical example to simulate its in solving Gray-Scott model parameter inversion problem.The results show that the hybrid algorithm can effectively solve this kind of problem of parameters inversion about reaction diffusion model.
作者
张世梅
孙瑶
闵涛
ZHANG Shi-mei;SUN Yao;MIN Tao(Xi’an Jiaotong University City College,Xi’an 710018,China;Xian University of Science and Technology,Xi’an 710054,China)
出处
《数学的实践与认识》
北大核心
2019年第21期206-212,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(51679186)
