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CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2003, Vol. 20 ›› Issue (4): 359-362.

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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. 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

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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

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