Author:
Mohanty Sanjit Kumar,Dash Rajani Ballav
Abstract
<p style='text-indent:20px;'>A novel quadrature rule is formed combining Lobatto six point transformed rule and Gauss-Legendre five point transformed rule each having precision nine. The mixed rule so formed is of precision eleven. Through asymptotic error estimation the novelty of the quadrature rule is justified. Some test integrals have been evaluated using the mixed rule and its constituents both in non-adaptive and adaptive modes. The results are found to be quite encouraging for the mixed rule which is in conformation with the theoretical prediction.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Control and Optimization,Algebra and Number Theory,Applied Mathematics,Control and Optimization,Algebra and Number Theory
Reference21 articles.
1. Kendall E. Atkinson, An Introduction to Numerical Analysis, 2nd Edition, Wiley Student Edition, 2012.
2. D. K. Behera, A. K. Sethi, R. B. Dash.An open type mixed quadrature rule using Fejer and Gaussian quadrature rules, American International Journal of Research in Science, Technology, Engineering & Mathematics, 9 (2015), 265-268.
3. D. Calvetti, G. H. Golub, W. B. Gragg, L. Reichel.Computation of Gauss-Kronrod quadrature rules, Mathematics of Computation, 69 (2000), 1035-1052.
4. S. Conte and C. de Boor, Elementary Numerical Analysis, Mc-Graw Hill, 1980.
5. R. N. Das, G. Pradhan.A mixed quadrature for approximate evaluation of real and definite integrals, Int. J. Math. Educ. Sci. Technology, 27 (1996), 279-283.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献