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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+// Solving Using Shooting Method
+// u''-(1-x/5)uu'=x, u(1)=2, u(3)=-1)
+function ydot=f(t, y),
+ ydot=[y(2);
+ t+y(1)*y(2)*(1-t/5);]
+endfunction
+y0=[2,-1.5]';t0=1;t=1:0.2:3;
+y=ode(['rkf'],y0,t0,t,f)
+
+y1=[2,-3]'
+U=ode(['rkf'],y1,t0,t,f)
+y2=[2,-2.2137]'
+V=ode(['rkf'],y2,t0,t,f)
+y11=[2,-1.9460]'
+U1=ode(['rkf'],y11,t0,t,f)
+y21=[2,-2.0215]'
+V1=ode(['rkf'],y21,t0,t,f)
+y111=[2,-2.0162]'
+U11=ode(['rkf'],y111,t0,t,f)
+y211=[2,-2.0161]'
+V11=ode(['rkf'],y211,t0,t,f)
+printf('Table 6.16')
+printf('\n Assume values for du/dx(1) Calculated Values of u(3)')
+T=[y0(2,1) y(1,11);
+ y1(2,1) U(1,11);
+ y2(2,1) V(1,11);
+ y11(2,1) U1(1,11);
+ y21(2,1) V1(1,11);
+ y111(2,1) U11(1,11);
+ y211(2,1) V11(1,11);]
+disp(T)