Marshak boundary condition recurrence formulae (Q1366355)
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scientific article; zbMATH DE number 1059772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Marshak boundary condition recurrence formulae |
scientific article; zbMATH DE number 1059772 |
Statements
Marshak boundary condition recurrence formulae (English)
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22 February 1998
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The intensity \(i(x,\mu)\) is expanded into a sum \[ i(x,\mu) =\sum^N_{m= 0} {2m+1 \over 4\pi}P_m(\mu) \psi_m(x), \tag{1} \] where \(P_m(\mu)\) are Legendre polynomials. Substituting (1) into the corresponding integral equation the author deduces a recurrence formula. Here \(N\) is the order of approximation.
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Marshak boundary condition
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thermal radiative heat transport
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intensity
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Legendre polynomials
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integral equation
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recurrence formula
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0.84221834
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0.83767825
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0.82948506
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0.82921237
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0.8258456
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0.82431656
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0.8238288
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0.8191819
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0.81874526
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