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giperbolicus.cpp
107 lines (88 loc) · 2.38 KB
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giperbolicus.cpp
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#include <stdio.h>
#include <math.h>
//#include <iostream>
const int n=100;
//const double tmax = 0.1; // âðåìÿ íàáëþäåíèÿ
const double r=0.95;
const double pi=3.14159265;
double u[n];
double der[n];
double v[n];
double q[n];//vspomogateln massiv dlia zamenyy
double w[n];
double source(double x, double t ) { //ôóíêöèÿ èñòî÷íèêà
return 0;
}
/* ÃÓ left*/
double a0(double t){
return 0;
}
double b0(double t){ // çàêðåïë¸ííûå êîíöû
return 1.0;
}
double c0(double t){
return 0;
}
/* ÃÓ right*/
double a1(double t){
return 0.0;
}
double b1(double t){// çàêðåïë¸ííûå êîíöû
return 1.0;
}
double c1(double t){
return 0;
}
void giperbolic(double *x, double ts, double te){
/* ïðîöåäóðà äëÿ ïàðàáîëè÷åñêîãî óðàâíåíèÿ*/
for ( int i = 0; i < n; i++ ) {
x[i]=1.0/n * i ; // êîëè÷åñòâî øàãîâ íà îñè x
}
double xi=1.0/n;
double tau=xi*sqrt(r); // øàã ïî âðåìåíè (èç óñëîâèÿ Êóðàíòà)
double t=ts; // t-òåêóùåå âðåìÿ, ts -- âðåìÿ íà÷àëà ýêñïåðèìåíòà
/*ïåðåñ÷¸ò çíà÷åíèé â ñåðåäèíå ïî ðàçíîñíîé ñõåìå*/
while(t < te){ //te -- âðåìÿ êîíöà ýêñïåðèìåíòà
for ( int i = 1; i < n-1; i++ ) {
w[i] = 2 * (1 - r) * v[i] +
r * (v[i-1] + v[i+1]) -
u[i] + tau * tau * source(i * xi, t);
}
/* ïåðåñ÷¸ò çíà÷åíèé íà êðàÿõ*/
v[0] = (c0(t) - v[1] * a0(t) / xi) / (b0(t) - a0(t) / xi);
v[n-1] = (c1(t) + v[n-2] * a1(t) / xi) / (b1(t) + a1(t) / xi);
for ( int i = 0; i < n; i++ ) {
q[i]=u[i];
u[i]=v[i];
v[i]=w[i];
w[i]=q[i];
}
t += tau; //îáíîâëåíèå âðåìåíè
for ( int i = 0; i < n; i++ ) {
double d = (v[i] - u[i]) / tau; //ñïèñîê ïðîèçâîäíûõ ïî âðåìåíè
}
}
}
int main( void ) { // ôóíêöèÿ ðåàëèçóþùàÿ ïðîöåäóðû
FILE *f;
f = fopen("fileg.txt", "w");
double ts=0,te=1, x[n],t,tau;
for(int i = 0; i < n; i++){// nachalnoe uslovie
u[i] = sin(pi * i / n);
der[i]=0;
}
/* ñëåäóþùèé øàã èç íà÷àëüíîãî óñëîâèÿ íà ïðîèçâîäíóþ*/
for ( int i = 0; i < n; i++ ) {
v[i]=u[i]+tau*der[i];
}
for( double t = 0; t<1.0; t+=0.1 ) {
giperbolic(x,t,t+0.1);
for ( int i = 0; i < n; i++ ) {
fprintf(f, "%f %f %f\n", t,x[i],u[i]);
}
fprintf(f, "\n");
}
fclose(f);
getchar(); // Êîìàíäà çàäåðæêè ýêðàíà
return 0;
}