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()
II I
i i
ó
( )
:
:
: -09 ..
: ____________ ____________
: ____________ ____________
: ____ _________ 200__.
: _________________
− 2009
{
- }
program RK4;
uses
crt;
const
N = 2; { }
M = 5100; { }
{ X,Y1,Y2 }
type
Working_arrays = array [1..N] of Real;
Array_X = array [1..M] of Single;
Arrays_of_outcomes = array [1..N,1..M] of Single;
var
h,x,v,xk: Real;
i,j,l: Integer;
y,k,f,w: Working_arrays;
OX: Array_X;
OY: Arrays_of_outcomes;
{ }
procedure system_equations(var y,f:Working_arrays);
begin
f[1]:=y[2];
f[2]:=(y[1]/x-y[2])/x-y[1]
end;
{ . }
procedure Runge_Kutt_4(var i: Integer;
var OX: Array_X;
var OY: Arrays_of_outcomes);
begin
for j:=1 to n do y[j]:=w[j];
i:=0;
Repeat
i:=i+1;
system_equations(y,f);
for j:=1 to n do
begin
v:=h*f[j];
k[j]:=v;
y[j]:=w[j]+v/2
end;
x:=x+h/2;
system_equations(y,f);
for j:=1 to n do
begin
v:=h*f[j];
k[j]:=k[j]+2*v;
|
|
|
y[j]:=w[j]+v/2
end;
system_equations(y,f);
for j:=1 to n do
begin
v:=h*f[j];
k[j]:=k[j]+2*v;
y[j]:=w[j]+v
end;
x:=x+h/2;
OX[i]:=x;
system_equations(y,f);
for j:=1 to n do
begin
y[j]:=w[j]+(k[j]+h*f[j])/6;
OY[j,i]:=y[j];
w[j]:=y[j]
end
Until ((x > xk) or (i = M))
end;
procedure output(device:string);
var
d: Text;
begin
assign(d,device);
rewrite(d);
writeln(d,' :');
writeln(d);
for l:=1 to i do
begin
write(d,' x=',OX[l]:6:2);
for j:=1 to N do write(d,' y[',j:1,']=',
OY[j,l]:10:6);
writeln(d)
end;
writeln(d);
close(d)
end;
BEGIN { }
{ 1. }
ClrScr;
write(' h=> ');
readln(h);
write(' x=> ');
readln(x);
write(' x=> ');
readln(xk);
writeln(' Y:');
for j:=1 to n do
begin
write(' Y[',j:1,']=> ');
readln(w[j])
end;
{ 2. }
Runge_Kutt_4(i,OX,OY);
{ 3. }
ClrScr;
output('con');
output('result.txt');
write(' ');
repeat until UpCase(ReadKey) <>#0
END.
