| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
A numerical method for the radiative transport equation using analytical solutions was proposed. In addition, a novel radiative transport equations with fractional-order time derivatives was studied. Furthermore, we revealed that the radiative transport equation is the governing equation for the transport of molecules in water which move in porous media. Related inverse problems were studied. A numerical method with random numbers was proposed for optical tomography. A numerical method was developed for measurements in the spatial frequency domain. In the former, the problem was reduced to an inverse problem for the diffusion equation by the diffusion approximation. In the latter, by using analytical solutions, we created a numerical method for the inverse problem of determining coefficients of the radiative transport equation. Parameter estimation was done using the radiative transport equation.
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