VFPDO Object as Operator - Maple Programming Help

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VFPDO Object as Operator

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Delta( obj )

Parameters

Delta

-

a VFPDO object

obj

-

a VectorField object

Description

• 

An VFPDO object is appliable, and can act as partial differential operator.

• 

An VFPDO object Delta is a function that acts on a vector field. See example below.

• 

These methods are associated with the VFPDO object. For more detail, see Overview of the VFPDO object.

Examples

withLieAlgebrasOfVectorFields:

XVectorFieldξx,yDx+ηx,yDy,space=x,y

Xξx,yx+ηx,yy

(1)

SLHPDEdiffξx,y,x=0,diffξx,y,y,y=0,diffηx,y,x=diffξx,y,y,diffηx,y,y=0,indep=x,y,dep=ξ,η

Sxξx,y=0,2y2ξx,y=0,xηx,y=yξx,y,yηx,y=0,indep=x,y,dep=ξx,y,ηx,y

(2)

LLAVFX,S

Lξx,yx+ηx,yy&where2y2ξx,y=0,xξx,y=0,xηx,y=yξx,y,yηx,y=0

(3)

ΔVFPDOL

ΔX→yyXx,ⅆⅆxXx,xXy+yXx,ⅆⅆyXy

(4)

Check actions as operator on vector field

ΔX

2y2ξx,y,xξx,y,xηx,y+yξx,y,yηx,y

(5)

it should kill rotations..

RVectorFieldyy0Dx+xx0Dy,space=x,y

Ry+y0x+xx0y

(6)

ΔR

0,0,0,0

(7)

Compatibility

• 

The VFPDO Object as Operator command was introduced in Maple 2020.

• 

For more information on Maple 2020 changes, see Updates in Maple 2020.

See Also

VFPDO (Object overview)

LieAlgebrasOfVectorFields[VFPDO]