An improvised quadrature rule for real definite integrals

Authors

  • Sunita Kumari Nayak Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Saumya Ranjan Jena$ Jena Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Archana Senapati Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Mrutyunjay Das Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Utkal Keshari Dutta Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Sourav Shil Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Narmada Behera Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India

Abstract

 An improvised quadrature rule for the approximation solution of real definite integrals is created by combining the anti Lobatto 5-point rule and the anti Clenshaw Curtis 7-point rule. The results are then compared with an extra mixed rule for various integrals and related anti-Gaussian rules. A few test problems are taken to measure the theoretical justification and numerical satisfaction along with  absolute error of the suggested rule. 

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Published

11/30/2024

Issue

Vol. 15 No. 4 (2024): Mathematics in Science, Engineering, and Aerospace (MESA)

Section

Articles