Evaluation of real denite integrals by using of mixed quadrature rules over a Triangular Domain | Zendy

Rajani Ballav Dash | Zendy; Pritikanta Patra | Zendy; Dwitikrushna Behera | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Evaluation of real denite integrals by using of mixed quadrature rules over a Triangular Domain

Author(s) -

Rajani Ballav Dash,

Pritikanta Patra,

Dwitikrushna Behera

Publication year - 2016

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v12i2.558

Subject(s) - mathematics , quadrature (astronomy) , clenshaw–curtis quadrature , cartesian coordinate system , gauss–kronrod quadrature formula , gaussian quadrature , tanh sinh quadrature , mathematical analysis , numerical integration , gauss–jacobi quadrature , space (punctuation) , gauss–laguerre quadrature , geometry , nyström method , integral equation , physics , linguistics , philosophy , optics

A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals over a triangular domain has been constructed.The relative ecienciesof the proposed mixed quadrature rule has been veried by using suitable test inte-grals.In this paper we present a mixed quadrature i.e. mixed quadrature of anti-Lobatto rule and Fejer's rst rule in one variable.For real denite integral over the triangular surface : f(x; y)j0 x; y 1; x + y 1g in the Cartesian two dimensional (x,y) space.Mathematical transformation from (x,y) space to (; ) space maps the standard triangle in (x,y) space to a standard 2-square in (:) space: f(; )j 1 ; 1g.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research