Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights

S. M. Hashemiparast; D. A. Ghondaghsaz; M. Maghasedi

doi:10.4236/am.2015.66088

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Applied Mathematics > Vol.6 No.6, June 2015

Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights ()

S. M. Hashemiparast^1,2, D. A. Ghondaghsaz², M. Maghasedi²

¹School of Mathematics, KNT University of Technology, Tehran, Iran.
²Department of Mathematics, College of Basic Sciences, Karaj branch Islamic Azad University, Alborz, Iran.

DOI: 10.4236/am.2015.66088 PDF HTML XML 3,046 Downloads 3,500 Views

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.

Keywords

q-Calculation, Numerical Approximation, q-Integration, q-Derivative

Share and Cite:

Hashemiparast, S. , Ghondaghsaz, D. and Maghasedi, M. (2015) Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights. Applied Mathematics, 6, 958-966. doi: 10.4236/am.2015.66088.

Conflicts of Interest

The authors declare no conflicts of interest.

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