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  3. 4 consider the boundary value problem dz2 with boundary conditions...

Question: 4 consider the boundary value problem dz2 with boundary conditions...

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4. Consider the boundary value problem dz2 with boundary conditions y(0) - 1 and y(1) 2. (a) Use the central finite difference scheme on a uniform mesh of width h to discretize the above differential equation. Write the corresponding system of nonlinear equations Ay f(y) for the numerical solution vector y (b) The above nonlinear system Ay - f(y) can be rewritten in the form F(v) 0. Write the Newtons method for solving the resulting nonlinear system F(y) - o. What is the function F(y) and the corresponding Jacobian matrix J(y)- F(y)?
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