Please select all that apply for 13/14 13. The shooting method to solve boundary

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Please select all that apply for 13/14

13. The shooting method to solve boundary value problems governed by a second order ODE with known values of the field variable at both boundaries of the domain (a) converts the problem to an intial value problem of two coupled first order ODE's (b) must be solved iteratively because an initial value for the slope is not known (c) uses a root solvign method to automatically adjust the initial slope to reach the known boundary condition at (d) (e) the far end boundary can be applied to linear and non-linear problems none of the above 14. The methods we developed for the numerical solution of the ODE for initial problems (a) when applied to a 2nd order ODE led to solving two coupled first order ODE's (b) had global truncation errors that were one order less than the local truncation error (c) had global truncation errors that were one order more than the local truncation error (d) when combined with a error estimate could be used with adaptive time stepping (e) none of the above

Explanation / Answer

13 ) - Shooting method is applicable for linear and non linear problem....

So option D is correct....

Also for 2nd order , we convert into two first order ode then we able to apply shooting method ..

So option A is correct..

Now we know value of boundary for only function but her first order derivative have no boundary given so slope is not given on boundary , therefor we use iterative method.

Option B is correct..

And in shooting method , we guess a value of slope and then find the actual value by method...

So option D is also correct....

Answer - A,B,C,D

14) -

Numerical method is applicable for first order... So for 2nd order first we convert into two coupled first order... And then we find solution at each time stepping by using iteration...

Also global truncation error is one order less than local truncation error...

So option A , B and D is true...

C is false...

Answer - A,B,D

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