I would like to apply inverse Laplace transform to U(x,p), which is defined by

For simplicity with my calculations, I assumed p:=i*beta^2. That is why I have the following equation after applying Laplace transform

(beta=0 is not a pole, that is why I removed the last term in my calculations later. Because there is no contribution) where

Here p and beta are complex values, we can write Re(p)=-2*Re(beta)*Im(beta), Im(p)=(Re(beta))^2-(Im(beta))^2 due to p:=i*beta^2. I numerically compute the roots of h(beta), you can find the numerical values of beta (I assumed digits are 50 due to accuracy ) betap.mw

Finally, I would like to plot U(x,t) with the values t=0.8, lambda=1, L=10, k=1. For checking the figure give t=0 and observe that U(x,0)=0.

I am expecting the plot is more or less like the following figure

PS: I already tried to solve and plot the problem, but I could not find where I make a mistake. I  share the worksheet below. Thank you!

complexplot.mw

Good morning, I'm a student and I installed Maple 18 on my PC, as a "Single User Profile". Unfortunately, I had to buy another computer, so now I'm trying to install the program on my new one. Even if I enter my Purchase Code and my details, Maple says that no more activations are left in my account, even if the expiration date is on March 2020. Is it possible to activate again the program? 

Thank you,

Laura

Running the code costs a lot of time, I need some suggestions to make faster and more accurate. Thanks!

sonkok.mw

Hy Prof.

Please help me or guide me to get idea to solve Nonlinear coupled PDEwith MAPLE.Dr.Sam Dao could please help me as I saw your YOUTUBE lecturer which very helpful to me and please give some idea about my topic.

pde[1] := diff(u(x, t), t)-D(diff(u(x, t), x, x)) = alpha*u(x, t)*(1-v(x, t))

pde[2] := diff(v(x, t), t)-E(diff(v(x, t), x, x)) = beta*v(x, t)*(1-u(x, t))

Thanks in advance and answer is highly appricaited 

Hi! I'm trying to find the way to plot the solution with series representation. I need some help to find the easiest way.

Note: I realized some typing errors, which do not change the question a lot ,and I corrected them.

plot.mw

Hello all  

I try to make matrix of size 21*21 but maple doen't run , I don't Know why ?

Also I want to comput the inverse but I get the same problem.

Do you have any idea .

Thank you

Download d1for_n=20.mwd1for_n=20.mwd1for_n=20.mw

how i tackle an bvp ode,derivative involve in bcs.i want to solve by dsolve comand or by using Rk meethod.i am attaching the maple sheet,ode wrrten in attached maple sheet

thank you  

Download kummer_sol.mwkummer_sol.mw

Download kummer_sol.mw

How I can find coefficient of g(z)^-2, g(z)^4 in differential expression ?

Download Finding_Coefficients.mw

Regards

Hi guys. I am new to the Maple environment.

Was trying to do some GR calculations when the following problem arose.

restart; with(Physics);
Setup(coordinates = (X = [t, r, theta, phi]), metric = -A(r)^2*(dt^2)+B(r)^2*(dr^2)+r^2*(dtheta^2)+r^2*(sin(theta)^2)*(dphi^2));
Setup(math = true);
g_[line_element]; g_[];
Christoffel[nonzero]; Christoffel[`~mu`, alpha, beta, nonzero];
D_[mu](g_[`~alpha`, `~beta`]);
expand(D_[2](g_[`~2`, `~beta`]));
D_[2](g_[`~2`, `~2`]);

The output for the last 3 lines are:

1. 0

2. Expansion in terms of Christoffel symbols (which does equal zero on substituting various values)

3. Non-zero value.

Obviously the answer must be zero for all cases (covariant derivative of metric). So what have I missed/misunderstood here?

Regards

BuddT

hi...please help me for solve this differential equation

thanks

warning.mw

Download warning.mw

Hi everybody

In the following attached file, I try to evaluate an integration, K_fL. Unfortunately, Maple does not evaluate it and just puts integration symbol and its bounds. I want to have final integration value. Is there any solution to this integration or maybe Maple can not solve this integration because of the complexity of integrand?

Thanks in advance

Q1.mw

hi

please help me for dsolve this equation...

error_length.mw

Download error_length.mw

hi...please help me for solve this nonlinear equations with pdsolve

thanksoffcenter2.mw

Download offcenter2.mw

Download Maple_Query_1.mw

Regards

hi...how i can convert 3 couple equations to 1 equation with Placement each other?

thanks...

3-1.mw

Download 3-1.mw