Mode = ? (a) xk + h {f(k-1) - fk/2fk - f(k-1)-f(k+1)}

Question

Mode = ?

(a) x_k + h \(\{\cfrac{f_{k-1}-f_k}{2f_k-f_{k-1}-f_{k+1}}\}\)

(b) x_k + h \(\{\cfrac{f_{k-1}-f_{k-1}}{2f_k-f_{k-1}-f_{k+1}}\}\)

(c) x_k + h \(\{\cfrac{f_k-f_{k-1}}{f_k-2f_{k-1}-f_{k+1}}\}\)

(d)  x_k + h \(\{\cfrac{f_k-f_{k-1}}{f_k-f_{k-1}-2f_{k+1}}\}\)

Answer 1

Correct answer is (b)

x_k + h \(\{\cfrac{f_{k-1}-f_{k-1}}{2f_k-f_{k-1}-f_{k+1}}\}\)