将以下C语言代码转换为matlab代码:#include<math.h> #include<stdio.h> #include<stdlib.h> void main() { double a, h, tau, r, *x, *t, * *u; int j, k, m, n; double phi(double x); double exact(double x, double t); FILE *fp; m = 300; n = 200; h = 3.0 / m; tau = 1.0 / n; a = 1.0; r = a*tau / h; printf("r=%.4f\n", r); if (r > 1.0) { printf("stability condition is not satisfied!\n"); return; } x = (double *)malloc(sizeof(double)*(m + 1)); t = (double *)malloc(sizeof(double)*(n + 1)); for (j = 0; j <= m; j++) x[j] = -1.0+j*h; for (k = 0; k <= n; k++) t[k] = k*tau; u = (double * *)malloc(sizeof(double *)*(m + 1)); for (j = 0; j <= m; j++) u[j] = (double *)malloc(sizeof(double)*(n + 1)); for (j = 0; j <= m; j++) u[j][0] = phi(x[j]); for (k = 0; k < n; k++) { for (j = k+1; j <= m; j++) u[j][k + 1] = r*u[j - 1][k] + (1.0 - r)*u[j][k]; } if (fopen_s(&fp, "yingfeng.dat", "w")!= 0) { printf("cannot open the file!\n"); return; } for (j = 100; j <= 200; j++) { printf("x=%.2f, numerical=%.2f\n", x[j], u[j][n / 2]); fprintf(fp, "%f, %f\n", x[j], u[j][n / 2]); } fclose(fp); free(x); free(t); for (j = 0; j <= m; j++) free(u[j]); free(u); } double phi(double x) { if (x <= 0) return 0.0; else return 1.0; } double exact(double x, double t) { if (x <= t) return 0.0; else return 1.0; }
时间: 2024-03-02 08:50:35 浏览: 114
以下是将该段C语言代码转换为Matlab代码的实现:
```matlab
function main()
a = 1.0;
m = 300;
n = 200;
h = 3.0 / m;
tau = 1.0 / n;
r = a * tau / h;
fprintf('r=%.4f\n', r);
if (r > 1.0)
fprintf('stability condition is not satisfied!\n');
return;
end
x = linspace(-1.0, 2.0, m + 1);
t = linspace(0, 1, n + 1);
u = zeros(m + 1, n + 1);
for j = 1:(m + 1)
u(j, 1) = phi(x(j));
end
for k = 1:n
for j = (k + 1):(m + 1)
u(j, k + 1) = r * u(j - 1, k) + (1.0 - r) * u(j, k);
end
end
fileID = fopen('yingfeng.dat', 'w');
for j = 100:200
fprintf('x=%.2f, numerical=%.2f\n', x(j), u(j, n / 2 + 1));
fprintf(fileID, '%f, %f\n', x(j), u(j, n / 2 + 1));
end
fclose(fileID);
end
function y = phi(x)
if (x <= 0)
y = 0.0;
else
y = 1.0;
end
end
function y = exact(x, t)
if (x <= t)
y = 0.0;
else
y = 1.0;
end
end
```
需要注意的是,Matlab中的数组索引是从1开始的,因此在代码中需要将C语言中的索引变量`j`和`k`在Matlab中分别修改为`j+1`和`k+1`。此外,在Matlab中需要使用`linspace`函数来生成均匀分布的向量,因为Matlab中没有C语言中的`malloc`和`free`函数,因此需要使用Matlab中的数组来分配内存。
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