کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5430591 | 1397411 | 2008 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical solution of the Fokker-Planck equation with variable coefficients
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موضوعات مرتبط
مهندسی و علوم پایه
شیمی
طیف سنجی
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چکیده انگلیسی
We study the numerical solution of the Fokker-Planck equation. This equation gives a good approximation to the radiative transport equation when scattering is peaked sharply in the forward direction which is the case for light propagation in tissues, for example. We derive first the numerical solution for the problem with constant coefficients. This numerical solution is constructed as an expansion in plane wave solutions. Then we extend that result to take into account coefficients that vary spatially. This extension leads to a coupled system of initial and final value problems. We solve this system iteratively. Numerical results show the utility of this method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Quantitative Spectroscopy and Radiative Transfer - Volume 109, Issue 5, March 2008, Pages 727-740
Journal: Journal of Quantitative Spectroscopy and Radiative Transfer - Volume 109, Issue 5, March 2008, Pages 727-740
نویسندگان
Arnold D. Kim, Paul Tranquilli,