hi.please help me for gain result with out root of form....

thanks

root_of.mw

Download root_of.mw

hi .i have a problem with dsolve this equation.please help me for removing error

"initial Newton iteration is not converging"

thanks..

SGT-FDM.mw

Download SGT-FDM.mw

Hi, Maple community

I am trying to integrate a 3D data numerical set. I managed to execute an array interpolation algorithm and apply it to plot a smooth surface but I do not know how to integrate it numerically. I want to be able to integrate the data not only in its domain but also in sub-domains for multiple purposes.

I've found here a topic about it and tried to apply suggestions made with no success.

Here I copy the worksheet steps:

restart:
with(LinearAlgebra):
with(CurveFitting):
with(plots):

Initial Parameters

Nx:=8;    Points in the x direction
Nz:=6;    Points in the z direction
Lx:=3;    This means x goes from 0 to 3
Lz:=2;    This means z goes from 0 to 2
Delta[ze]:=evalf(Lz/(Nz-1));
Delta[xe]:=evalf(Lx/(Nx-1));

DataPn:=Matrix(Nx,Nz,0):         Matrix to store values in the 3rd direction

The following step is a function that I used to simulate data that I will later on will get by measurings.

for i from 1 to Nx do
 for j from 1 to Nz do
  DataPn[i,j]:=evalf(sin(Pi*(i-1)*Delta[xe]/Lx)*sin(Pi*(j-1)*Delta[ze]/Lz)):
 end do;
end do;

Setting data to use ArrayInterpolation

datax:=Array([seq((i-1)*Delta[xe],i=1..Nx)]);
dataz:=Array([seq((j-1)*Delta[ze],j=1..Nz)]);

In this step here, I don't really understand what this argument [[a],[b]] means but ArrayInterpolation cannot work without it.

MI:=(a,b)->ArrayInterpolation([datax, dataz],Array(DataPn),[[a],[b]],'method' = 'spline')[1,1];

Plot and display the interpolation and the real function to compare the quality of the interpolation, actually it does an excellent job, at least with this data.

G1:=plot3d(MI, datax[1]..datax[Nx], dataz[1]..dataz[Nz],labels=[x,z,Pn]);
G2:=plot3d(evalf(sin(Pi*x/Lx)*sin(Pi*z/Lz)),x=0..3,z=0..2,color=red);
display(G1,G2);

And finally I found this integration method here in mapleprimes

evalf(Int(x->evalf(Int( y->MI(x,y), 0..3,method=_d01akc)),0..2,method=_d01akc));

And the result is 1.102279199. I thought maybe I was setting wrongly the integration limits or the order in the command but in any case the result was near the analytic case which was:

int(evalf(sin(Pi*x/Lx)*sin(Pi*z/Lz)),x=0..3,z=0..2);

2.431708408

In this scenario I know the result is wrong because I can compute the exact solution, but later on I won't be able to do so. Also, later I'm interested in the integration, let's say, x from 0..0.5 and later from 0.5..1 and so on (keeping z always from 0 to 2) So, the main questions are:

1. Am I setting something wrong?
2. If I delete the method option in the integral, it takes a lot of time for the program to compute any result. Why?
3. Is there any other way to integrate this? I mean, any other way to write the command to compute the integral.
4. What does the [[a],[b]] argument stands for in ArrayInterpolation?

Regards and thanks for your help.

Hello,how can i find y0 in this equatin?

Dear all

I have a simple question about geometric series

What's the difference between g(2) and gg(2)

 Many thanks

Geometric_series.mw

hi.how i can draw a graph (s(x))(1) versus sigma?

thanksomega=30.mw

Download omega=30.mw

On maplesim how plot the transfer funtion vs frequency for the public domain example tuned mass dumper?

HI.please help me for solve differenrtial equation with finite difference method not dsolve numeric solver in maple

thanks

FDM2.mw

Download FDM2.mw

with(Optimization):

theta := Complex(1,1);
Minimize(theta^3-3*(A*theta^2+B), {0 <= theta^3-3*(A*theta^2+B)}, assume = nonnegative)

Error, (in Optimization:-NLPSolve) complex value encountered

Also always i try to solve that strange ecuation maple give me like an aswer in terms of Z, with an integral on it, i don't get nothing. I evaluate a point with right click, evaluate a point. Choose the variables value, and the time at wich i want to evaluate the ecuation. Later it give me the same strange solution but with the variables replaced for the values i gave to the program. Then i choose right click, aproximate, and don't matter if i select 5, 10 or more digits, it launchs to me the same strange ecuation, not the number i'm waiting for.

So that i want to know now is how can i manipulate a numerical solution to a diff ecuation.

For example if i got this system of diff ecuation

dx/dt = (-k/m) (x srqt(x^2 + y^2))

dy/dt = (-k/m) (y srqt(x^2 + y^2)) - g

Which is a projectile trajectory taking care of air drag force, and i want to know at which initial speed i have to fire the body to reach 300m if it is fired from the initial point at (0,0), and it's initial velocity on x is 3 times it's initial velocity on y (initial launch angle condition)? 

How can i input that conditions to make maple give me a solution for something like that?

hi

i have a problem with convert mathematica code in to maple one

i attached maple file .some line have error.please help me for remove error

thanks

fdm.mw

fdm.pdf

Hello,how can i plot 50 answers of this equation?P:=0.5lambda.tan(lambda)-1

hello.

i have two problem in maple file, that is attached..

one of them is RootOf...note that i suppose that [varepsilon := -2.3650203724313] for i can going on following calculation

and second is  Float(undefined) in calculation integral

please help me

thanks

(m=1_n=6)2.mw

Hi,

I have attached a Maple file. My problem is that the solve for the simultaneous equation does not give me understandable results. I even simplified my equations by saying some parameters are zero although my final goal is to find an expression for a and varphi. Any idea how to solve this analytically? I know how to do it numerically. I need an analytical expression.

Thanks,

Baharm31

I have Maple output that extends page width. I can of course see the entire output when I scroll to the right. But since I want to make a screenshot of the output, I need to have the output on one page. Is there a possibility to have the output printed on one page, not extending page width?

Any comments would be greatly appreciated!