Generalized Diffusion Operator (Q6775373)

From MaRDI portal

Jump to:navigation, search

This is the item page for this Wikibase entity, intended for internal use and editing purposes.

Please use this page instead for the normal view: Generalized Diffusion Operator

generalized version of the diffusion operator

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

Statements

0 references

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}

0 references

Operators Oi Minus

0 references

Operators Oi Plus

0 references

Diffusion Operator

0 references

0 references

MaRDI profile type

MaRDI quantity profile

0 references

Sitelinks

Mathematics(1 entry)

mardi Quantity:6775373

Retrieved from "https://mardi.schubotz.org/w/index.php?title=Item:Q6775373&oldid=42748145"