Approximation of analytic functions in adaptive environment | Zendy

Saumya Ranjan Jena | Zendy; Kumudini Meher | Zendy; Arjun Paul | Zendy

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Approximation of analytic functions in adaptive environment

Author(s) -

Saumya Ranjan Jena,

Kumudini Meher,

Arjun Paul

Publication year - 2016

Publication title -

beni-suef university journal of basic and applied sciences

Language(s) - English

Resource type - Journals

eISSN - 2314-8543

pISSN - 2314-8535

DOI - 10.1016/j.bjbas.2016.10.001

Subject(s) - gaussian quadrature , degree (music) , analytic function , quadrature (astronomy) , mathematics , gauss , gauss–kronrod quadrature formula , clenshaw–curtis quadrature , gauss–jacobi quadrature , mathematical analysis , calculus (dental) , integral equation , nyström method , physics , medicine , dentistry , quantum mechanics , acoustics , optics

In this paper, a mixed quadrature rule of degree of precision seven is formed for analytic functions by taking two constituent rules each of degree of precision five. Here the integral of analytic function is converted to real definite integrals with the help of double transformations. Then the mixed quadrature rule is tested in adaptive environment and it is obviously superior to that of Gauss–Legendre three-point rule

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