📄 corrector_step.m
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function corrector_step(N,h,dt);
global U1 U2 U3 F1 F2 F3 J2 dx pU1_pt pU2_pt pU3_pt gama;
for i=2:(N-1)
pU1_pt(h+1,i)=-((F1(h+1,i)-F1(h+1,i-1))/dx);
pU2_pt(h+1,i)=-((F2(h+1,i)-F2(h+1,i-1))/dx)+J2(h+1,i);
pU3_pt(h+1,i)=-((F3(h+1,i)-F3(h+1,i-1))/dx);
end
pU1_pt(h,:)=0.5.*(pU1_pt(h+1,:)+pU1_pt(h,:));
pU2_pt(h,:)=0.5.*(pU2_pt(h+1,:)+pU2_pt(h,:));
pU3_pt(h,:)=0.5.*(pU3_pt(h+1,:)+pU3_pt(h,:));
U1(h+1,:)=U1(h,:)+pU1_pt(h,:)*dt;
U2(h+1,:)=U2(h,:)+pU2_pt(h,:)*dt;
U3(h+1,:)=U3(h,:)+pU3_pt(h,:)*dt;
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