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Generalized Diffusion Operator - MaRDI portal

Generalized Diffusion Operator (Q6775373)

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generalized version of the diffusion operator

Language	Label	Description	Also known as
English	Generalized Diffusion Operator	generalized version of the diffusion operator

Statements

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defining formula

\begin{matrix} \tilde{𝒟} f (𝐧, 𝐦) : \equiv & \frac{D_{A}}{h^{2}} \sum_{i = 1}^{K_{A} - 1} {(n_{i} + 1) f (𝒪_{i}^{+} 𝒪_{i + 1}^{-} 𝐧, 𝐦) - n_{i} f (𝐧, 𝐦)} \\ + \frac{D_{A}}{h^{2}} \sum_{i = 2}^{K_{A}} {(n_{i} + 1) f (𝒪_{i}^{+} 𝒪_{i - 1}^{-} 𝐧, 𝐦) - n_{i} f (𝐧, 𝐦)} \\ + \frac{D_{B}}{h^{2}} \sum_{i = 1}^{K_{B} - 1} {(m_{i} + 1) f (𝐧, 𝒪_{i}^{+} 𝒪_{i + 1}^{-} 𝐦) - m_{i} f (𝐧, 𝐦)} \\ + \frac{D_{B}}{h^{2}} \sum_{i = 2}^{K_{B}} {(m_{i} + 1) f (𝐧, 𝒪_{i}^{+} 𝒪_{i - 1}^{-} 𝐦) - m_{i} f (𝐧, 𝐦)} \end{matrix}

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Operators Oi Minus

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Operators Oi Plus

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Diffusion Operator

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MaRDI profile type

MaRDI quantity profile

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Sitelinks

Mathematics(1 entry)

mardi Quantity:6775373

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