(c) State one advantage of the Newton form over the Lagrange form in poly- nomial interpolation. (d) State one advantage of the forward Euler method over the backward Euler method in solving an initial value problem y = f(y), y(0) = Yo-

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Part C and D

(a) State one advantage of Newton's method over fixed point iteration in
solving a nonlinear equation f(x) = 0.
(b) State one advantage of the trapezoidal method over Gaussian quadrature
in approximating the value of an integral f(1)dx.
(c) State one advantage of the Newton form over the Lagrange form in poly-
nomial interpolation.
(d) State one advantage of the forward Euler method over the backward Euler
method in solving an initial value problem y' = f(y), y(0) = .
2.
Transcribed Image Text:(a) State one advantage of Newton's method over fixed point iteration in solving a nonlinear equation f(x) = 0. (b) State one advantage of the trapezoidal method over Gaussian quadrature in approximating the value of an integral f(1)dx. (c) State one advantage of the Newton form over the Lagrange form in poly- nomial interpolation. (d) State one advantage of the forward Euler method over the backward Euler method in solving an initial value problem y' = f(y), y(0) = . 2.
Expert Solution
Step 1

2-c state one advantage of the Newton form over the Lagrange form in polynomial interpolation

 newton method include use of nested multiplication and also for higher order interpolation it is relatively easy to add more point in newton method as compare to polynomial interpolation.

 

 

 

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