Title |
連載 医学物理における微分方程式の利用と解法(4)
|
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Published in |
Igaku butsuri Nihon Igaku Butsuri Gakkai kikanshi Japanese journal of medical physics an official journal of Japan Society of Medical Physics, November 2016
|
DOI | 10.11323/jjmp.36.1_55 |
Pubmed ID | |
Authors |
Kenya Murase |
Abstract |
Partial differential equations are often used in the field of medical physics. In this (final) issue, the methods for solving the partial differential equations were introduced, which include separation of variables, integral transform (Fourier and Fourier-sine transforms), Green's function, and series expansion methods. Some examples were also introduced, in which the integral transform and Green's function methods were applied to solving Pennes' bioheat transfer equation and the Fourier series expansion method was applied to Navier-Stokes equation for analyzing the wall shear stress in blood vessels.Finally, the author hopes that this series will be helpful for people who engage in medical physics. |
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