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Question: For a general 2 × 2 system of differential equations (t>0) u'1(t) = f1(t, u1(t), u2(t)), u1(0) = u1,0, u'2(t) = f2(t, u1(t), u2(t)), u2(0) = u2,0, give one (in component!) the increment function f(ti, yi, hi +1)of the Taylor method to the orders p = 1, p = 2 and p=3. By: ozzy     Date: 2012-11-16

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Question: solve the heat equation du/ dt =d2u/dx2, subject to u(x,0)=25 ,u(x,0)=25, u(0,t)=100, u(1,t)=100, taking h=.25 and k=0.01 for 2 time levels using explicit scheme By: atul kumar     Date: 2012-12-04

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Question: An explicit step method is given by the following rule; yi+1 := yi + hif(ti+hi/2,yi+hi/2f(ti,yi)) What is the order of this method? By: ozzy     Date: 2012-11-16

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Question: For a general 2 × 2 system of differential equations (t>0) u'1(t) = f1(t, u1(t), u2(t)), u1(0) = u1,0, u'2(t) = f2(t, u1(t), u2(t)), u2(0) = u2,0, give one (in component!) the increment function f(ti, yi, hi +1)of the Taylor method to the orders p = 1, p = 2 and p=3. By: ozzy     Date: 2012-11-16

The co-ordinator will post his answer

Question: solve the heat equation du/ dt =d2u/dx2, subject to u(x,0)=25 ,u(x,0)=25, u(0,t)=100, u(1,t)=100, taking h=.25 and k=0.01 for 2 time levels using explicit scheme By: atul kumar     Date: 2012-12-04

The co-ordinator will post his answer