TITLE:
Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights
AUTHORS:
S. M. Hashemiparast, D. A. Ghondaghsaz, M. Maghasedi
KEYWORDS:
q-Calculation, Numerical Approximation, q-Integration, q-Derivative
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.6,
June
2,
2015
ABSTRACT: In this paper, we present a procedure for the numerical q-calculation of the q-integrals based on appropriate nodes and weights which are determined such that the error of q-integration is mini-mized; a system of linear and nonlinear set of equations respectively are prepared to obtain the nodes and weights simultaneously; the error of q-integration is considered to be minimized under this condition; finally some application and numerical examples are given for comparison with the exact solution. At the end, the related tables of approximations are presented.