linear advection equation

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf partial differential equations
gptkbp:application atmospheric science
fluid dynamics
wave propagation
gptkbp:describes transport of a quantity
gptkbp:field gptkb:mathematics
physics
gptkbp:form ∂u/∂t + c ∂u/∂x = 0
https://www.w3.org/2000/01/rdf-schema#label linear advection equation
gptkbp:method finite difference method
finite volume method
method of characteristics
gptkbp:parameter c (advection speed)
gptkbp:property conserves quantity u
no source or sink terms
gptkbp:relatedTo gptkb:convection-diffusion_equation
gptkb:Burgers'_equation
gptkbp:type linear
first-order
gptkbp:variant u (quantity being advected)
gptkbp:bfsParent gptkb:Lax–Wendroff_method
gptkbp:bfsLayer 6