解二维时间相关光子扩散方程的交替方向隐式法

计算物理 ›› 2003, Vol. 20 ›› Issue (4): 359-362.

解二维时间相关光子扩散方程的交替方向隐式法

张智¹, 骆清铭¹, 曾绍群¹, 张新宇², 黄德修²

1. 华中科技大学生物医学光子学教育部重点实验室, 湖北武汉 430074;
2. 华中科技人学光电子工程系, 湖北武汉 430074

收稿日期:2002-05-23 修回日期:2002-12-13 出版日期:2003-07-25 发布日期:2003-07-25
作者简介:张智(1968-),男,湖北,讲师,博上,从事生物医学光于学、生物医学图像处理的研究.
基金资助:
国家自然科学基金重点(NO.59836240);国家杰出青年科学基金(NO.60025514)资助项目

Alternating Direction Implicit Method for Solving the Two-dimensional Time-dependent Photon Diffusion Equation

ZHANG Zhi¹, LUO Qing-ming¹, ZENG Shao-qun¹, ZHANG Xin-yu², HUANG De-xiu²

1. The Key Laboratory of Biomedical Photonics, Ministry of Education, Wuhan 430074, China;
2. Department of Photoelectronics Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2002-05-23 Revised:2002-12-13 Online:2003-07-25 Published:2003-07-25

摘要/Abstract

摘要： 研究了应用交替方向隐式法求解非均匀生物组织中的二维时间相关光子扩散方程,并同解析解以及Monte Carlo模拟的结果作了比较,数值结果表明,该方法具有较好的稳定性和较高的精度.

关键词: 光子迁移, 光子扩散方程, 交替方向隐式法

Abstract: An alternating direction implicit (ADI) method for solving the two-dimensional time-dependent photon diffusion equation is studied. Numerical comparisons with analytical solution and the results of Monte Carlo simulation are achieved. Numerical results show that the method has high accuracy and good stability.

Key words: photon migration, photon diffusion equation, alternating directon implicit(ADI)method

中图分类号:

R318.51
Q63

张智, 骆清铭, 曾绍群, 张新宇, 黄德修. 解二维时间相关光子扩散方程的交替方向隐式法[J]. 计算物理, 2003, 20(4): 359-362.

ZHANG Zhi, LUO Qing-ming, ZENG Shao-qun, ZHANG Xin-yu, HUANG De-xiu. Alternating Direction Implicit Method for Solving the Two-dimensional Time-dependent Photon Diffusion Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(4): 359-362.