On seven-precision formulae for numerical simulation of integrals in real sense

Authors

  • Saumya Ranjan Jena Department of Mathematics, School of Applied Sciences\\Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Sunita Kumari Nayak Department of Mathematics, School of Applied Sciences\\Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Archana Senapati Department of Mathematics, School of Applied Sciences\\Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Utkal Keshari Dutta Department of Mathematics, School of Applied Sciences\\Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Prasanta Kumar Mohanty Department of Mathematics, School of Applied Sciences\\Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Narmada Behera Department of Mathematics, School of Applied Sciences\\Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Joydeb Pal Department of Mathematics, School of Applied Sciences\\Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India

Abstract

In this manuscript a seven-point rule is suggested by merging two five-point rules i.e. so called Lobato-4 point and Gauss-Legendre 3-point rules for evaluating real definite integrals. This concept is implemented through various numerical examples experimentally and error analysis theatrically. The present results are compared with two other individual rules in each example.     

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Published

03/01/2025

Issue

Vol. 16 No. 1 (2025): Mathematics in Science, Engineering, and Aerospace (MESA)

Section

Articles