你好同学,就是设置一个误差然后计算四个点的温度值,代码供参考:
clc;clear
% 四个点的初始温度
T12 = 0;
T22 = 0;
T11 = 0;
T21 = 0;
T = [T12,T22,T11,T21];
err = 1; % 设置初始误差
% 开始高斯赛德尔迭代
while err>1e-8 % 当误差大于10的-8次方继续迭代
T12 = (25+100+T22+T11)/4;
T22 = (25+0+T21+T12)/4;
T11 = (75+100+T12+T21)/4;
T21 = (75+0+T11+T22)/4;
err = norm([T12,T22,T11,T21]-T);%计算每次相对误差
T = [T12,T22,T11,T21];
end
fprintf('T12=%f℃,T22=%f℃, T11=%f℃, T21=%f℃\n',T12,T22,T11,T21)
计算结果:
T12=56.250000℃,T22=31.250000℃, T11=68.750000℃, T21=43.750000℃