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2025-02-Numerical/lib/nr/cpp/recipes/voltra.cpp
2025-09-12 18:55:25 +09:00

37 lines
739 B
C++

#include "nr.h"
void NR::voltra(const DP t0, const DP h, Vec_O_DP &t, Mat_O_DP &f,
DP g(const int, const DP),
DP ak(const int, const int, const DP, const DP))
{
int i,j,k,l;
DP d,sum;
int m=f.nrows();
int n=f.ncols();
Vec_INT indx(m);
Vec_DP b(m);
Mat_DP a(m,m);
t[0]=t0;
for (k=0;k<m;k++) f[k][0]=g(k,t[0]);
for (i=1;i<n;i++) {
t[i]=t[i-1]+h;
for (k=0;k<m;k++) {
sum=g(k,t[i]);
for (l=0;l<m;l++) {
sum += 0.5*h*ak(k,l,t[i],t[0])*f[l][0];
for (j=1;j<i;j++)
sum += h*ak(k,l,t[i],t[j])*f[l][j];
if (k == l)
a[k][l]=1.0-0.5*h*ak(k,l,t[i],t[i]);
else
a[k][l] = -0.5*h*ak(k,l,t[i],t[i]);
}
b[k]=sum;
}
ludcmp(a,indx,d);
lubksb(a,indx,b);
for (k=0;k<m;k++) f[k][i]=b[k];
}
}