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mskalsi

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9 years, 284 days
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Equating partial derivative to zero...

mskalsi 290 Maple
pdetools
January 18 2016
1 18

In PDEtools, suppose to I wish assign zero value to certain first order partial derivative such that higher order derivatives automatically vanish in subsequent excutions, how I can do that?

 

> 

with(PDEtools):
> 

alias(u = u(x, y, t))

u

 (1)

Suppose we wish following derivative equal to zero,

> 

diff(u, x) = 0

diff(u, x) = 0

 (2)

If we use ":=" for value assignment we will get error. Under above assuption how can we make following derivatives zero?

> 

diff(u, x, x); 1; diff(u, x, y); 1; diff(u, x, x, x, y)

diff(diff(u, x), x)

  

diff(diff(u, x), y)

  

diff(diff(diff(diff(u, x), x), x), y)

 (3)
> 

``

 

Download Assiging_Derivative.mw

Maple Third Party Package...

mskalsi 290 Maple
package library mpl
January 09 2016
0 5

I have Maple package "DESOLVE" having two different types of files namely in format .mpl and .mws, where code is written in .mpl file and .mws is just a example worksheet, this package is available at following link;

http://cpc.cs.qub.ac.uk/summaries/ADYZ_v1_0.html

My problem is how to work with package?

One thing that I able to do is that I have opened the file type .mpl  in Maple worksheet and after executing whole whorsheet I able to to start working with package using with(desolv).

But when I type with(desolv) in new worksheet an error shows up.

How I can store this .mpl file in Maple library so as to use this package using "with(desolv)" in new worksheets

Desolv_worksheet_paper.mws?

Maple package in "tar.gz" format...

mskalsi 290 Maple
package format distribution
January 06 2016
1 2

Dear all

I have downloaded a third party Maple package from following link:

http://cpc.cs.qub.ac.uk/summaries/AEQP_v1_0.html

The distribution format is  "tar.gz", but I don't know what to with this format, that how should I load this package into Maple library. I have window 8.1.

If anybody have an idea about this format "tar.gz" please help me out.

How to form system of equations?...

mskalsi 290 Maple
programming
January 05 2016
1 5

Dear all
Please guide me how to convert system of expressions into system of equations, so as solve them using "solve command".

The following expressions are just coefficients extracted from certain equation.

> 

16*a[2]^4*delta[1]^2-48*a[2]^3*a[3]*delta[1]*delta[2]-2*a[2]*b[2]*delta[1]^2, 48*a[2]^2*a[3]^2*delta[1]*delta[2]-80*a[3]^4*delta[1]*delta[2]-4*a[3]*b[3]*delta[1]*delta[2], 64*a[2]^3*a[3]*delta[1]*delta[2]-64*a[2]*a[3]^3*delta[1]*delta[2]-2*a[2]*b[3]*delta[1]*delta[2]-2*a[3]*b[2]*delta[1]*delta[2]

16*a[2]^4*delta[1]^2-48*a[2]^3*a[3]*delta[1]*delta[2]-2*a[2]*b[2]*delta[1]^2, 48*a[2]^2*a[3]^2*delta[1]*delta[2]-80*a[3]^4*delta[1]*delta[2]-4*a[3]*b[3]*delta[1]*delta[2], 64*a[2]^3*a[3]*delta[1]*delta[2]-64*a[2]*a[3]^3*delta[1]*delta[2]-2*a[2]*b[3]*delta[1]*delta[2]-2*a[3]*b[2]*delta[1]*delta[2]

 (1)

It possible for me to write (1) in the following form

> 

for EQ in 16*a[2]^4*delta[1]^2-48*a[2]^3*a[3]*delta[1]*delta[2]-2*a[2]*b[2]*delta[1]^2, 48*a[2]^2*a[3]^2*delta[1]*delta[2]-80*a[3]^4*delta[1]*delta[2]-4*a[3]*b[3]*delta[1]*delta[2], 64*a[2]^3*a[3]*delta[1]*delta[2]-64*a[2]*a[3]^3*delta[1]*delta[2]-2*a[2]*b[3]*delta[1]*delta[2]-2*a[3]*b[2]*delta[1]*delta[2] do EQ = 0 end do

16*a[2]^4*delta[1]^2-48*a[2]^3*a[3]*delta[1]*delta[2]-2*a[2]*b[2]*delta[1]^2 = 0

  

48*a[2]^2*a[3]^2*delta[1]*delta[2]-80*a[3]^4*delta[1]*delta[2]-4*a[3]*b[3]*delta[1]*delta[2] = 0

  

64*a[2]^3*a[3]*delta[1]*delta[2]-64*a[2]*a[3]^3*delta[1]*delta[2]-2*a[2]*b[3]*delta[1]*delta[2]-2*a[3]*b[2]*delta[1]*delta[2] = 0

 (2)

But I want to write (1) in the following form

> 

16*a[2]^4*delta[1]^2-48*a[2]^3*a[3]*delta[1]*delta[2]-2*a[2]*b[2]*delta[1]^2 = 0, 48*a[2]^2*a[3]^2*delta[1]*delta[2]-80*a[3]^4*delta[1]*delta[2]-4*a[3]*b[3]*delta[1]*delta[2] = 0, 64*a[2]^3*a[3]*delta[1]*delta[2]-64*a[2]*a[3]^3*delta[1]*delta[2]-2*a[2]*b[3]*delta[1]*delta[2]-2*a[3]*b[2]*delta[1]*delta[2] = 0

16*a[2]^4*delta[1]^2-48*a[2]^3*a[3]*delta[1]*delta[2]-2*a[2]*b[2]*delta[1]^2 = 0, 48*a[2]^2*a[3]^2*delta[1]*delta[2]-80*a[3]^4*delta[1]*delta[2]-4*a[3]*b[3]*delta[1]*delta[2] = 0, 64*a[2]^3*a[3]*delta[1]*delta[2]-64*a[2]*a[3]^3*delta[1]*delta[2]-2*a[2]*b[3]*delta[1]*delta[2]-2*a[3]*b[2]*delta[1]*delta[2] = 0

 (3)
> 

``

 

Download Maple_Query.mw

Commutator Table...

mskalsi 290 Maple
loop pde commutator
November 19 2015
1 1

Dear all

I have query related to generating commutator table from given Lie algebra spanning symmetries of PDE, I have ten vectors that I need to commute with each other to constitute commutator table. I have calculated all the commutations manually using "symmetrycommutator" command.

My queries is, can I convert this operation into short loop type program which automatically calculate cummutation of vectors from 1 to 10.

The Maple file is attaches with this query for reference.

Commutator_for_Infinitesimal_Generators_for_variable_coefficient_Zakharove_Kuznetsov_Equation.mw

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