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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

Fall 2014 • Question 5

Question

Math 6610 • Analysis of Numerical Methods I Fall 2014 • Question 5

Explain how to combine the Shooting method and Newton’s Method to solve the boundary value problem \[ y''=f(x,y,y'),\qquad a\leq x\leq b,\qquad y(a)=A,\qquad y(b)=B \] where \(y=y(x)\) and \(y\) and \(f\) are scalar valued.

Raw LaTeX

Explain how to combine the Shooting method and Newton's Method to
solve the boundary value problem
\[
  y''=f(x,y,y'),\qquad a\leq x\leq b,\qquad y(a)=A,\qquad y(b)=B
\]
where \(y=y(x)\) and \(y\) and \(f\) are scalar valued.

Topic Tags

Finite Difference Boundary Value Problems Linear Programming and Optimization