2015•International Journal of Computing Science and MathematicsRequires access

A mixed quadrature rule blending Lobatto and Gauss-Legendre three-point rule for approximate evaluation of real definite integrals

Arun Kumar Tripathy, Rajani Ballav Dash, Amarendra Baral

Abstract

In this paper, a mixed quadrature rule of precision seven has been designed by the linear combination of two rules of precision five. The error analysis of these two formulas has been incorporated. Through some numerical examples the effectiveness of the mixed quadrature rule over its constituent ones has been shown.

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Key concepts: Gaussian quadrature, Gauss–Kronrod quadrature formula, Quadrature (astronomy), Clenshaw–Curtis quadrature, Gauss–Jacobi quadrature, Mathematics, Tanh-sinh quadrature, Applied mathematics