Article citationsMore>>
Lim, S.C., Eab, C.H., Mak, K.H., Li, M. and Chen, S.Y. (2012) Solving Linear Coupled Fractional Differential Equations by Direct Operational Method and Some Applications. Mathematical Problems in Engineering, 2012, Article ID: 653939. http://dx.doi.org/10.1155/2012/653939
has been cited by the following article:
-
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.