Consider the implicit two-step method
w_(i+1)=a1w_(i)+a2w_(i-1)+h(b0f_(i+1)+b1f_(i)+b2f_(i-1)).
(a) Provide the stencil for the method.
3. Consider the implicit two-step method
Wi+1=a1Wi+a2Wi-1+h(bofi+1+b1fi+ b2fi-1
(a) Provide the stencil for the method (b) Determine the system of equations for the unknown coefficients a1, a2, bo, b1 and b2. (c) Determine the characteristic polynomial. (d) Apply the root condition to determine bounds on a1. (e) Determine the value for a corresponding to the weakly stable version of the method, then determine the value of the remaining coefficients. (f) Provide the values of a that make the method stable.