I want to integrate a function f(z) from z=0 to z=Z0 (say Z0=1000) and plot it. How do I do that in Maple?

Note: analytic integration of f(z) is not possible.

Hi

I have solutions of a 4th-order differential equation as a solutions.dat file having 5 columns. In the same maple worksheet (not necessarily the same worksheet, though), I want to solve a system of differential equations using [columns 2] and [column 3]/[column 2] of soultions.dat as inputs.

Can anyone help me how I can implement this?

Thanks in advance.

Hi

I have .dat files that I want to use in integrating some function, say

f(x)=int(1/a(x),x),

where I have the numerical values of a(x) as "avalues.dat" file.

I am wondering if there is a command that does the integration numerically...

And also for  differentiating numerically: g(x)=diff(a(x),x)

Thanks in advance.

After numerically solving an ODE, I want to save the solutions as a .dat file. I got this from the internet net for PDES and tried by adapt it to odes using dsolve. But I get this: Error, `sol` does not evaluate to a module 

PDE := diff(u(x, t), t, t)-(diff(u(x, t), x, x))+.2(diff(u(x, t), t))-1/2*(u(x, t)-u(x, t)^3) = 0;

 IBC := {u(-15, t) = -1, u(15, t) = 1, u(x, 0) = tanh(x), (D[2](u))(x, 0) = -1/cosh(x)^2}; sol := pdsolve(PDE, IBC, 'numeric', u(x, t...