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Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights
School of Mathematics, KNT University of Technology, Tehran, Iran
Department of Mathematics, College of Basic Sciences, Karaj branch Islamic Azad University, Alborz, Iran
Department of Mathematics, College of Basic Sciences, Karaj branch Islamic Azad University, Alborz, Iran
- 1 School of Mathematics, KNT University of Technology, Tehran, Iran
- 2 Department of Mathematics, College of Basic Sciences, Karaj branch Islamic Azad University, Alborz, Iran
- 3 Department of Mathematics, College of Basic Sciences, Karaj branch Islamic Azad University, Alborz, Iran
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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.
Keywordsq-CalculationNumerical Approximationq-Integrationq-Derivative
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