Article ID Journal Published Year Pages File Type
9506838 Applied Mathematics and Computation 2005 10 Pages PDF
Abstract
This paper discusses on numerical improvement of the Newton-Cotes integration rules, which are in forms of:∫ab=a+nhf(x)dx≃∑k=0nBk(n)f(a+kh).It is known that the precision degree of above formula is n + 1 for even n's and is n for odd n's. However, if its bounds are considered as two additional variables (i.e. a and h in fact) we reach a nonlinear system that numerically improves the precision degree of above integration formula up to degree n + 2. In this way, some numerical examples are given to show the numerical superiority of our approach with respect to usual Newton-Cotes integration formulas.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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