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- Title
A comparative study of Gauss-Laguerre quadrature and an open type mixed quadrature by evaluating some improper integrals.
- Authors
PATRA, Pritikanta; DAS, Debasish; DASH, Rajani Ballav
- Abstract
An open type mixed quadrature rule is constructed blending the anti-Gauss 3-point rule with Steffensen's 4-point rule. The analytical convergence of the mixed rule is studied. An adaptive integration scheme is designed based on the mixed quadrature rule. A comparative study of the mixed quadrature rule and the Gauss{Laguerre quadrature rule is given by evaluating several improper integrals of the form ∞∫0e -x f(x)dx. The advantage of implementing mixed quadrature rule in developing an efficient adaptive integration scheme is shown by evaluating some improper integrals.
- Subjects
COMPARATIVE studies; IMPROPER integrals; SINGULAR integrals; LAGUERRE polynomials; RICHARDSON extrapolation
- Publication
Turkish Journal of Mathematics, 2018, Vol 42, Issue 1, p293
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-1610-57