Nonlinear Functional Analysis and Applications

  • 제26권5호
  • /
  • Pages.935-947
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  • 2021
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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A TRIPLE MIXED QUADRATURE BASED ADAPTIVE SCHEME FOR ANALYTIC FUNCTIONS

  • 투고 : 2020.08.17
  • 심사 : 2021.04.10
  • 발행 : 2021.12.15
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초록

An efficient adaptive scheme based on a triple mixed quadrature rule of precision nine for approximate evaluation of line integral of analytic functions has been constructed. At first, a mixed quadrature rule SM1(f) has been formed using Gauss-Legendre three point transformed rule and five point Booles transformed rule. A suitable linear combination of the resulting rule and Clenshaw-Curtis seven point rule gives a new mixed quadrature rule SM10(f). This mixed rule is termed as triple mixed quadrature rule. An adaptive quadrature scheme is designed. Some test integrals having analytic function integrands have been evaluated using the triple mixed rule and its constituent rules in non-adaptive mode. The same set of test integrals have been evaluated using those rules as base rules in the adaptive scheme. The triple mixed rule based adaptive scheme is found to be the most effective.

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과제정보

I would like to express my indebtedness to my teacher Dr.Rajani Ballav Dash, Department of Mathematics, Ravenshaw University, Cuttack for his guidance in preparing this paper. My special thanks to Dr.Dwiti Krushna Beher and Dr.Debasish Das for their logistic support.

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