I prefer the StackExchange way. But note that there is an option on MaplePrimes to sort chronologically. It would be great if MaplePrimes were a StackExchange site, but they require a core of 200 dedicated users to start a site.

@Andriy Even shorter is

f:= `+`:

But I think that the OP wanted to ask the question about _params and was just using addition as a trivial example. I think that the OP had in mind a more sophisticated use of _params.

@Joe Riel I disagree. The relationship between $ and seq is essentially the same as that between sum and add. The $ allows for the entry and manipulation of indefinite sequences, such as

k:= 'k':  n:= 'n':
k^2 $ k= 1..n;

The backslash in \%1 is superfluous. The command might as well be

error "bad argument: %1", n

Don't expect to see the backslash in any help that you find on the error command.

@Alejandro Jakubi I've only used Grid:-Map.

@Alejandro Jakubi 

Can distributed grid mode computations be done within a single machine by means of the Grid package alone, without the Grid Computing Toolbox?

Yes. I have done it and achieved 100% processor utilization (as reported by Windows Task Manager) over 8 nodes. What would be the purpose of having the Grid package if this were not possible?

@Kitonum In the Question, f is a function of two arguments. That does not correspond with the f in your code.

@TomM This problem is computer-specific. On the majority of computers the space curves show up without needing the linestyle explicitly stated. That's why proofreaders didn't catch it.

Are you interested in analytic solution or numeric solution?

@Carl Love What happened? Did you fix the problem? Please attach the worksheet as explained above.

@mehdi jafari The default values used for spacestep and timestep are not very carefully chosen by pdsolve. They both default to 1/20th of the spatial range. In this problem, that means the timestep is 5, which is clearly too large considering that we are getting 5 plots all with t  < < 5.

@Hummingbird Please attach your worksheet (rather than cut-and-paste) using the green up arrow, which is the last icon on the second row of the toolbar in the MaplePrimes editor.

@mehdi jafari Mehdi, the range is already set by the boundary conditions to -50..50. The range option is only needed when the boundary conditions do not give both endpoints of the space range.

@Hummingbird

In order for

solve({seq(eq[i], i= 1..6)}, convert(phi4N, set));

to work, the eq[i] must be those that you created in the for loop, not those that you entered manually.

The code

solve({seq(eq[i], i= 1..6)}, convert(phi46N, set));

is wrong because the second argument only uses one of the six variables. If you want to solve for fewer variables than there are equations, use eliminate instead of solve.

@Kitonum Clearly the OP did not actually use that .. syntax. There would have been an error message if it had been input like that.