Items tagged with method method Tagged Items Feed

(1) Does ModuleCopy, when automatically called from Object,  really get the a shallow copy of the object

as the first parameter in its parameter list? See below, which is copied directly from ?object,create. The

ModuleCopy has first argument new::Dollar but ModuleApply only passes its two arguments not three. I

couldn't find a reference to this feature in the docs.

I want to solve numerically the nonlinear problem 

a*(diff(y(x), x, x))+2*(diff(y(x), x))+exp(y(x)) = 0, y(0) = 0, y(1) = 0

by defining my own method defined as 

y_n+1=y_n+2*h*(-2*y_n+2*ln(2/(1+x))-(1/2)*a)^2/(a*(-4*y_n+4*ln(2/(1+x))-a-h*(4*y_n-4*ln(2/(1+x))+a+x+1)/a))

where h is the step-size. Please help me by letting me know how can I do this using Maple 11.

Hi experts,

I would like to ask what is the defult method's name for the numerical integration?

Thanks,

How to patch library maple functions locally if there any method?

Found that in

IntegralTransforms:-Tools:-SimplifyPower

in 195-196

instead of

j := evalf(j[-1][2]-1);
k := evalf(j[1][1]+1)

should be

j := evalf(t1[-1][2]-1);
k := evalf(t1[1][1]+1)

How to update maple?

Hi,  if i have a matrix 4x4 as

A=[I          Y        -X        aX

     bY        Z         o          o

      X^T     O^T     0         0

       o^T  O^T       0         q ]   

Hi,    I have the following    

for i from 1 to 100 do    x[i]:=cos(θ[i]);     y[i]:=sin(θ[i])  end do; 

Now I want to find the first and second derivatives for x[i] and y[i] which are

for i from 1 to 100 do     x1dot[i]:=-sin(θ[i]);     y1dot[i]:=cos(θ[i]); 

                         ...

Well,

Basically I know that.

I just hoped there is some walkaround this problem.

It seems now there is not.

The problem I am trying to solve is how I can construct an iterative procedure where function is computed from numerical solution of the ODE system (done) and then this very function is used to recalculate the solution of this ODE system.

This is my attempt to impement some sort of  gradient projection method to the optimal...

I was wondering if anyone knew of a procedure or patch for Newton's method with two variables. I checked maple help and there only seemed to be Newton's method for one variable.

It's for root finding when you have two functions, each with one or two variables; it involves a jacobian matrix.

I'm running Maple 13 btw.

Hello,

I'm doing a math assignment for numerical methods and I had to answer a question - solving Newton's method in maple to submit. I need to solve the question to an accuracy of 10^-5. I don't have access to the software right now as I only have it on the computers at our school, but I did take a maple course in my first year of university and have some experience with it. I wrote up this formula, but I'm not 100% sure if its correct. Could someone...

Hi,

Can i use method=laplace to solve an ode with no initial condition?

ode := diff(phi2(x),`$`(x,2))-Omega0*diff(phi2(x),x)-k*R1*E1/C*sigma*phi2(x)-l^2*phi2(x)+2*R*k/C*N2*exp(Omega0*(x-1))*cosh(l*(x-1))*l*C2/exp(-l) = 0;

bcs:=phi2(1)=0,phi2(S0)=-N4*Phi;

sol := dsolve({ode, bcs}, phi2(x), method=laplace);

Thanks

Does anyone know a command for using Newton's method to a solve a nonlinear system, particularly this one:

4y^2+4y+52x=19

169x^2+3y^2+111x-10y=10

?

Also, how about this one:

x+e^-1x+y^3=0

x^2+2xy-y^2+tan(x)=0

?

Thank you

And so with this provocative title, "pushing dsolve to its limits" I want to share some difficulties I've been having in doing just that. I'm looking at a dynamic system of 3 ODEs. The system has a continuum of stationary points along a line. For each point on the line, there exist a stable (center) manifold, also a line, such that the point may be approached from both directions. However, simulating the converging trajectory has proven difficult.

I have simulated as...

I use rk4 to solve this equation with the paramater w = 500, I want to get the numbers of steps.

And when I change the parameter w = 1000, I want to obtain the numbers ofsteps?

Here is the procedure:

restart:
Digits:= 32;
w :=  500;
ode := diff(y(t), `$`(t, 1)) = 2*I*y(t) + sin(w*t)*y(t)*y(t):
ics := y(0) = 1:

p2 := dsolve({ics, ode}, numeric, method = classical[rk4]):

Thanks for your help.

Dear Maple users

Many problems in mathematicis can be traced back to solving equations. It is at the heart of a program like Maple. I know solving equations in general can be immensely difficult. As an example The Riemann hypothesis has to do with the solution of a specific equation, the Riemann zeta function, and is probably the most famous unsolved problem today. I just mention this one to emphasize how hard it can be to solve an equation. Therefore I know...

Hello!

I've got a question about model integration process.

I've tried to solve quite complex mechanical model and this messages have appeared.

Computing initial conditions...
Iterate re-initialization...
done.
Simulating...
CreateDataRecord: using dsolve method=rosenbrock_dae
Generating configuration 1
Integrating configuration...
Re-initializing after event at t=4.94271387307997e-009...