Relative Accuracy of Numerical Quadrature Formulas - Trapezoid Rule, Simpson's 1/3 Rule, Simpson's 3/8 Rule and Boole's Rule

Authors

  • R. B. Srivastava*, Jai Singh Yadav

Abstract

We have calculated the definite integral by dividing the interval of integration [-1, 1] into 96 equal parts in trapezoidal rule, 192 equal parts in Simpson’s 1/3 rule, 288 equal parts in Simpson’s 3/8 rule and 384 equal parts in Boole’s rule by developing computer programs in C++ language. Error in the values of integral calculated by quadrature formulas is minimum when upper limit is in the neighborhood of zero and lower limit is -1. Accuracy of the quadrature formulas has been found in the order- Simpson’s three-eighth rule > Simpson’s one-third rule > Boole’s rule > Trapezoidal rule.

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Published

28-09-2011

How to Cite

Yadav, R. B. S. . J. S. (2011). Relative Accuracy of Numerical Quadrature Formulas - Trapezoid Rule, Simpson’s 1/3 Rule, Simpson’s 3/8 Rule and Boole’s Rule. Recent Research in Science and Technology, 3(7). Retrieved from https://updatepublishing.com/journal/index.php/rrst/article/view/744

Issue

Section

Mathematics