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What is the basic idea behind the shooting method?Question 27Answera.Convert BVP into a PDE and solve it numericallyb.To use iterative technique to solve a BVPc. Convert BVP into an IVP and solve it numerically

Question

What is the basic idea behind the shooting method?Question 27Answera.Convert BVP into a PDE and solve it numericallyb.To use iterative technique to solve a BVPc. Convert BVP into an IVP and solve it numerically

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Solution

The basic idea behind the shooting method is to convert a Boundary Value Problem (BVP) into an Initial Value Problem (IVP) and solve it numerically.

Here are the steps involved in the shooting method:

  1. First, we guess a value for the missing initial condition of the IVP.
  2. Then, we solve the IVP using this guessed value.
  3. We check if the obtained solution satisfies the boundary condition.
  4. If the boundary condition is not satisfied, we make another guess for the missing initial condition and repeat the process.
  5. We continue this process until we find a solution that satisfies the boundary condition within a specified tolerance.

This method is called the shooting method because it is similar to shooting a target. We keep adjusting our aim (the guessed initial condition) until we hit the target (satisfy the boundary condition).

This problem has been solved

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