Numerical Integration of Analytic Function Through Extrapolation

Arjun Singh; Saumya Ranjan Jena and Bhupati B  Mishra

doi:10.17485/ijst/2017/v10i37/93435

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Numerical Integration of Analytic Function Through Extrapolation

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2017/v10i37/93435

Year: 2017, Volume: 10, Issue: 37, Pages: 1-8

Original Article

Numerical Integration of Analytic Function Through Extrapolation

Arjun Singh^*, Saumya Ranjan Jena and Bhupati B. Mishra

Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar – 751024, Odisha, India; arj[email protected], [email protected], [email protected]

^*Author for correspondence
Arjun Singh
Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar – 751024, Odisha, India; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In recent years mixed quadrature rule for analytic functions has been utilized in the field of Science and Technology. A mixed quadrature rule for degree of precision eleven has been established by taking two constituent rules each of degree of precision nine. The proposed mixed quadrature rule has been tested on different functions and comparable with different authors to find the best approximate solution to the exact results. Mixed quadrature rule on analytic function is applied in the field of adaptive quadrature which is essential in the physical sciences.

Keywords: Analytic Functions, Degree of Precision, Maclaurin’s Theorem, Mixed Quadrature, Richardson Extrapolation MSC 2010: 65D30, 65D32