Thread: scientific c++ program

I have an urgent assignment to write a c++ program and I lack time to learn the whole language. Is there anyone willing to give a detailed outline enabling me to write the program myself? I simplified the assignment and will describe it in terms of algorithms.

background
The program describes the partition of heat along a bar, consisting of 100 points. At the first time t=1, the temperature of the first point is 50 (degrees) and the temperature of the other points is 0.

header file
The header file has to declare the array temp, an array with 100 members, which are floats, so that this array can be used in several cpp source files.

cpp file
input: tf , the final temperature
output: the array of dimension 100, containing the temperatures of the 100 points of the bar at tf

algorithm
This algorithm will work on members of 2 succeeding arrays with 100 members: those containing the 100 temperatures of time t-1 and time t, where t is an integer, because the algorithm applies once in a second (1<=t<=tf). By temp(x,t), a single member of the array, I will mean the temperature of the point at position x (1<=x<=100 or 0<=x<=99 : this depends on the program).

code, although not exact:

Code:

for(t=1, t<=tf, t++)
{
   if ((x==1)&&(t==1))                   temp(1,1)=50;

   if((x==1)&&(t!=1))                   temp(1,t)=3/4*temp(1,t-1)+1/4*temp(2,t-1);

   if((x!=1)&&(t==1))                     temp(x,1)=0;

   if(1<x<100)                               temp(x,t)=1/2*temp(x,t-1)+1/4*temp(x-1,t-1)+1/4*temp(x+1,t+1);

   if(x==100)                                    temp(100,t)=1/2*temp(100,t-1)+1/4*temp(99,t-1);
}

Results
If tf=1, the 100 members array temp(1)={50 , 0,………….,0}.
If tf=2, the 100 members array temp(2)=={3/4*50 , 1/4*50 , 0,…………0}
and so on…

extra remarks
You have seen that I think the main of the program will be a for loop in time t. Each part of this loop will produce an array of dimension 100. In order to calculate the array temp(t) the program only has to know the array(t-1). Each time the time loop proceeds the array temp(t-1) in the memory storage has to be replaced ( since memory space is limited!) by the array temp(t), to calculate the array temp(t+1), until the array temp(tf), the output, is reached.
Then there is still something superfluous about this program. If t<100, the elements of the array temp(t) on positions x>t (if 1<=x<=100) or x>=t (if 0<=x<=99) are 0. I do not think this to be crucial, though.

THANK YOU VERY MUCH!!!

This is an assignment for university. I'm a physics student. I do want to learn the language, but first the elements of it related to this task. I will write the program myself, but I lack time to first learn the language as a whole. I need to be directed a bit.

And why would I have to put the extern array in a header when I have already defined it in my source files?
I thought I could define the array in the header file so that I could use this array in my 2 source files (there are in fact 2 similar tasks to this assignment) by including the header file. Now I can see no advantage any more in including a header file.

That's clear now.
And do you think that by reading these 2 tutorials I shall be able to write the program? I'm in particular very confused about the first point of my extra remark (in the original message)?
And I'm equally not quite sure how to include the fact that this array is a function of time. Do I have to make it a matrix or can it be done as I suggest in my remark?