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Numerical Method20775 marksSimpson's 1/3 rule

How Simpson's 1/3 rule differs from Trapezoidal rule? Drive the formula for Simpson's 1/3 rule.

How Simpson's 1/3 rule differs from Trapezoidal rule? Drive the formula for Simpson's 1/3 rule. [5]

Aspect Trapezoidal Rule Simpson's 1/3 Rule --------- Approximation Approximates the integrand using straight lines (linear polynomials) between points Approximates the integrand using parabolas (quadratic polynomials) through three points Accuracy Less accurate; error is of order O(h²) More accur...

Up nextApproximate the solution of y' = 2x + y, y(0) = 1 using Euler's method with step size 0.1.