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Dear Experts,

When I run this code in maple I am facing with "Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging".

restart:
 
 unprotect('gamma');
 lambda:=5*10^5:
 mu:=0.003:
 beta:=4*10^(-10):
 delta:=0.2:
 alpha:=0.043:
 sigma:=alpha+delta:
 k:=6.24:
 gamma:=0.65:
 A[1]:=1:
 A[2]:=1:

ics := x[1](0)=1.7*10^8, x[2](0)=0,x[3](0)=400,psi[1](50)=0,psi[2](50)=0,psi[3](50)=0:

ode1:=diff(x[1](t), t)=lambda-mu*x[1](t)-(1-beta*x[1](t)*x[3](t)*(psi[1](t)-psi[2](t))/A[1])*beta*x[1](t)*x[3](t)+delta*x[2](t),
 diff(x[2](t), t) =(1-beta*x[1](t)*x[3](t)*(psi[1](t)-psi[2](t))/A[1])*beta*x[1](t)*x[3](t)-sigma*x[2](t),
 diff(x[3](t), t) =(1+psi[3](t)*k*x[2](t)/A[2])*k*x[2](t)-gamma*x[3](t),
 diff(psi[1](t), t) =-1+1/A[1]*beta^2*x[1](t)*x[3](t)^2*(psi[1](t)-psi[2](t))^2-psi[1](t)*(-mu+beta^2*x[3](t)^2*(psi[1](t)-psi[2](t))/A[1]*x[1](t)-(1-beta*x[1](t)*x[3](t)*(psi[1](t)-psi[2](t))/A[1])*beta*x[3](t))-psi[2](t)*(-beta^2*x[3](t)^2*(psi[1](t)-psi[2](t))/A[1]*x[1](t)+(1-beta*x[1](t)*x[3](t)*(psi[1](t)-psi[2](t))/A[1])*beta*x[3](t)),
> diff(psi[2](t), t) =1/A[2]*psi[3](t)^2*k^2*x[2](t)-psi[1](t)*delta+psi[2](t)*sigma-psi[3](t)*(psi[3](t)*k^2/A[2]*x[2](t)+(1+psi[3](t)*k*x[2](t)/A[2])*k),
> diff(psi[3](t), t) = 1/A[1]*beta^2*x[1](t)^2*x[3](t)*(psi[1](t)-psi[2](t))^2-psi[1](t)*(beta^2*x[1](t)^2*(psi[1](t)-psi[2](t))/A[1]*x[3](t)-(1-beta*x[1](t)*x[3](t)*(psi[1](t)-psi[2](t))/A[1])*beta*x[1](t))-psi[2](t)*(-beta^2*x[1](t)^2*(psi[1](t)-psi[2](t))/A[1]*x[3](t)+(1-beta*x[1](t)*x[3](t)*(psi[1](t)-psi[2](t))/A[1])*beta*x[1](t))+psi[3](t)*gamma;

sol:=dsolve([ode1,ics],numeric, method = bvp[midrich]);

Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging

Please help me to solve this equation on Maple.




I am using Maple worksheets in a class. I have a student who finds it difficult to spend much time at the keyboard because of a joint disorder. I am looking for alternate input methods such as Dragon or the Dictate Facility on MacBooks which might help her out. Any suggestions would be appreciated. 

Thanks,

-Maury

Hi everyone

I am currently trying to make my own simple package including a few procedures. So far I have been able to write some "code" that actually works when I open the document and hit "enter". I would, however, like to save the package so it can be accessed during any Maple session using the command "with". I have unsuccesfully tried to comprehend the Maple help pages regarding this question but I definitely don't want to mess things up.

This is what I have written:

mat := module ()
description "useful procedures for mathematics, physics and chemistry";
export AtomicWeight;
option package;

   AtomicWeight := proc (x) description "returns the average atomic mass of the naturally ocurring element";
   Units:-AddSystem(NewSystem, Units:-GetSystem(SI), u);
   return evalf(ScientificConstants:-Element(x, atomicweight, system = NewSystem, units))
   end proc

end module;

What should I do to save it correctly?

Thank in advance,
Mads


 

 

 

 

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eithne

compute the squarefree decomposition of the following polynomials in Q[x] and inF_3[x].
(1)  f=x^6-x^5-4x^4+2x^3+5x^2-x-2
(2)  g=x^6-5x^5+12x^4-6x^3-9x^2+12x-4
            

How to open batch maple output as mws in Maple Player?  I was used to doing this daily at work before retirement in my university office on a campus computer.  There was an "open" command in a file menu of some sort that I could click on, I seem to remember.   Am just fresh afte downloading Maple Player on my iMac and have it installed.  The file from my batch Maple output is form a run of batch Maple on the office machine that I can logon to remotely from home, as I did in this case.  I get rough looking graphic output (using the alphabet style graphics methods).  It would be good to have a more detailed and fine grained graphics to answer some basic questions that I am analyzing.  Thanks . . !!

 

error module is maple.dll_unloaded

 

i have already called stopmaple(kv);

in

testfunction(string hello){....stopmaple(kv));

 

testfunction(1);

testfunction(2);

when call testfunction again , it got error

Maple people:

The title is the question.  I would like to know if there is any Maple code available, either part of Maple itself or written by a user, to do computations with quaternions or dual quaternions.

I could Google this and probably find something, but I'll probably find a more helpful and less outdated answer here.

I am teaching a student about the subject and I'd like something to help me teach and help him learn.

I have a lot of experience with Maple but I am not a "computer person", so if the code involves fancy "libraries" or something beyond regular Maple worksheets, I may need a few tips how to use it.

GS

CoolProp is an open source C++ library of thermophysical properties for pure fluids, pseudo-pure fluids, and humid air. Ian Bell has recently developed a wrapper for Maple (get the wrapper and library at Github). Compiling CoolProp gives a library (a DLL on Windows) you can call in Maple via define_external().

I started exploring CoolProp a few days ago, and here's a few simple examples of what you can do

The saturation pressure (in kPa) of the refrigerant R134a at 253 K

The pressure (in kPa) of the refrigerant R22 that produces a two-phase mixture of quality 0.3 with an enthalpy of 300 kJ/kg

And since I'm a fan of engineering visualization, here's a refrigeration cycle on a P-h-T chart, generated in Maple with CoolProp.

Here's a Maple application that uses CoolProp to analyze a refrigeration cycle (together with a CoolProp DLL for 64-bit Windows).

Analysis_of_a_Refrig.zip

I'd like to encourage anyone with an interest in thermophysical modeling to download CoolProp and explore its functionality. It's certainly opened up a new field of applications for me.

Samir

Can we define/set a range in Maple. e.g 


I have the following equation:

y = 1.048 + 1.02*x + 6.118*(z-4.041*x^2) + 16.22*(z^2) +6.241* (x*z)

The value of z is within 0.001 - 0.543, y is from 1 - 12 and x is from 0.001 - 0.7

How should I define it in Maple, so while solving equations it read the values within the given range? 


Does anyone exports Maple worksheets to as a LaTeX file?

All my work is typed in LaTeX but I rarely export a Maple file as LaTeX because Maple uses its own LaTeX macros that in a generous evaluation are a lot of "junk" around the LaTeX code. In practice  it is is easier to copy and past the Maple output and then make modifications to LaTeX by hand than to modify Maple's LaTeX code.

Does anyone know of a more efficient alternative than manually copying and pasting?

The ability to export LaTeX useful LaTeX code should be a basic to any symbolic math software, this is one of the few feature os Maple that are really disappointing.

 

Does anybody use maple 17 in the Mac's Mavericks OS? Or it does not support the new OS yet.

It seems in the sysytem requirement of maple 17, it said only supports OS 10.7, 10.8.

Hi MaplePrimers!

I have a simulation in MapleSIM, exported as a compiled procedure in maple using -LinkModel(), and -GetCompiledProc.

I'm trying to do parameter estimation on my MapleSIM model.  Within a optimization scheme, I call the MapleSIM model, and it will output a curve.  Using a least squares method, I compare this measurements to synthetic experimental data (I know the actual values), and generate an objective function.  The optimization algorithm will try different parameter values, and try to minimze the objective function.  When the curves are exactly the same, the objective function will be zero.

The problem I am having is certain parameter sets will cause the model to require very small steps.  I wish to put a timeout on these experiments, because speed is important.  However, I would also like to see the results up to the point of requiring very small steps.  For timeout, I was using code along the lines of:

out:= timelimit(30,cProc(params = PData)); #simulate with 30s limit

where PData are the parameter guessses, and cProc is the compiled MapleSim model.

I would like 'out' to be assigned whatever the results were after 30 seconds, even if the model had not finished integrating.

 

Thanks in advance for any help!

Simplify square roots...

January 02 2014 Canis 5

 For some reason maple does not simplify root in the following cases: 

sqrt((c^2, r^2));

another one is

sqrt(4), ....


Such square roots occur after this command:

eigenvectors := simplify(simplify(evectors, g * (g - 1) * (e - u * u + v * v + w * w) * 1/2 = c * c), sqrt, simbolic)

How to find the sum of the products given below

where I couldn't write j not equal to i in the product. 

sum(a[i],i=1..n)*product(s-b[j],j=1..n)

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