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

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DOI: 10.4236/am.2015.66088    2,772 Downloads   3,105 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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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