A Proposed Numerical Integration Method Using Polynomial Interpolation
Kwasi A. Darkwah, Ezekiel N. N. Nortey, Charles Anani Lotsi
Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 22 Apr 2016
10.9734/BJMCS/2016/25299Abstract
The main aim of this paper is to propose a numerical integration method using polynomial interpolation that provides improved estimates as compared to the Newton-Cotes methods of integration. The method is an extension of trapezoidal rule where the Lagrange interpolation is employed when fitting polynomials after segmentation. We proved that the proposed numerical integration method using polynomial interpolation provided an improved formula for numerical integration. The proposed method using polynomial interpolation gave better estimates as compared to some Newton-Cotes methods of integration.
Cited by 3
M. N. Dhali, N. Barman, Manaeil Hasan · International Journal of Mathematical Sciences and Computing · 2020
Mir Md. Moheuddin, Muhammad Abdus Sattar Titu, Saddam Hossain · 2020
K. A. Darkwah, Ezekiel Nii Noye Nortey, A. Lotsi · SpringerPlus · 2016
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