MATH505 – NUMERICAL METHODS AND ANALYSIS 6. Out of Trapezoidal rule and Simpson’s 1/3rd rule which...

MATH505 – NUMERICAL METHODS AND ANALYSIS

6. Out of Trapezoidal rule and Simpson’s 1/3rd rule which one is better explain in detail. Also solve one application based problem using that rule. Compare the exact and approximate result to compute the relative error.

Expert Solution

Simpson’s 1/3 is more effective and accurate when the condition of the subdivision is only even for solving a definite integral.
Simpson’s 1/3rd rule is an extension of the trapezoidal rule in which the integrand is approximated by a second-order polynomial. Simpson rule can be derived from the various way using Newton’s divided difference polynomial, Lagrange polynomial, and the method of coefficients.

Colby Messinger answered 1 year ago

Q1- Out of Trapezoidal rule and Simpson’s 1/3rd rule which one is better explain in detail....

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