±¾ÈËÔÚ½«»ÆƽÀÏʦËùÖøµÄÈó»¬ÊýÖµ¼ÆËã·½·¨µÄµÚ¶þÕ²»¿ÉѹÎÈ̬Ïß½Ó´¥»¬¿é³ÌÐò¸Ä±à³ÉMATLAB³ÌÐòʱѹÁ¦µÄ¼ÆËã³öÁËÎÊÌ⣬µ«ÊÇ×Ô¼ºÕÒ²»µ½½â¾ö°ì·¨£¬Çë´óÀнâ»ó£¬Ð»Ð»¡£³ÌÐòÈçÏ£º
X = zeros(121,1); % ×ø±ê½ÚµãÊý×é
H = zeros(121,1); % Ĥºñ½ÚµãÊý×é
P = zeros(121,1); % ѹÁ¦½ÚµãÊý×é
H1=1.0; % Á¿¸Ù»¯×î´óĤºñ
H2=0.5; % Á¿¸Ù»¯×îСĤºñ
U=1; % Á¿¸Ù»¯ËÙ¶È
EDA=0.02;% Èó»¬ÓÍÕ³¶È
AL=0.01; % »¬¿é³¤¶È
KG=1;% µÈÓÚ1ʱΪֱÏß»¬¿é£¬2ʱΪÇúÏß»¬¿é
N=121;% ½ÚµãÈ¡Öµ
if KG==2
X1=-1.0;
X2=1.0;
else
X1=0.0;
X2=1.0;
end
DX=1/(N-1);
for i=1:N
if KG==1 % Ö±Ïß»¬¿éĤºñ¼ÆËã
X(i)=X1-(i-1.0)*DX*(X1-X2);
H(i)=H1/H2-(H1/H2-1.0)*X(i);
else % ÇúÏß»¬¿éĤºñ¼ÆËã
X(i)=X1-(i-1.0)*DX*(X1-X2);
H(i)=1.0+(H1/H2-1.0)*X(i)^2;
end
end
for i=2:N-1
P(i)=0.5;% ѹÁ¦¸÷µã¸³³õÖµ
end
P(1)=0.0;% ѹÁ¦Æðµã³õʼ»¯
P(N)=0.0;% ѹÁ¦ÖÕµã³õʼ»¯
IK=0;
ERO=1;
while ERO>1e-7
C1=0.0;
ALOAD=0.0;
for i=2:N-1
A1=(0.5*(H(i+1)+H(i)))^3;
A2=(0.5*(H(i)+H(i-1)))^3;
PD=P(i);
P(i)=(-0.5*DX*(H(i+1)-H(i-1))+A1*P(i+1)+A2*P(i-1))/(A1+A2);
P2(i)=0.3*PD+0.7*P(i);
if P2(i)<0
P2(i)=0;
end
C1=C1+abs(P2(i)-PD);
ALOAD=ALOAD+P2(i);
end
ERO=C1/ALOAD;% Ïà¶ÔÎó²î£¬ÓÃÓÚÅжÏÊÕÁ²Çé¿ö
IK=IK+1;
end
X0=0;
for i=1:N
X0=X0+P(i)*X(i);
end
X0=X0*AL;
ALOAD=ALOAD*DX*AL*6.0*U*EDA*AL/(H2^2);% ³ÐÔØÄÜÁ¦¼ÆËã
if KG==1
for i=1:N
P0=-(-1.0/(H(i)*H2)+H1*H2/(H1+H2)/(H2*H(i))^2+1.0/(H1+H2))/(H1/H2-1.0)*H2;
end
end
@wuming524