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
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:
- First, we guess a value for the missing initial condition of the IVP.
- Then, we solve the IVP using this guessed value.
- We check if the obtained solution satisfies the boundary condition.
- If the boundary condition is not satisfied, we make another guess for the missing initial condition and repeat the process.
- 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).
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