On Circle numerical computation of real definite integrals in Adaptive mode

Authors

  • Sunita Kumari Nayak, Department of Mathematics,School of Applied Sciences,\\ KIIT Deemed to be University, Bhubaneswar-751024,Odisha, India
  • Saumya Ranjan Jena Department of Mathematics,School of Applied Sciences,\\ KIIT Deemed to be University, Bhubaneswar-751024,Odisha, India
  • Itishree Sahu Department of Mathematics,School of Applied Sciences,\\ KIIT Deemed to be University, Bhubaneswar-751024,Odisha, India
  • Prasanta Kumar Mohanty 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
  • Satya Kumar Misra Department of Mathematics,School of Applied Sciences,\\ KIIT Deemed to be University, Bhubaneswar-751024,Odisha, India
  • Vishal Pradhan Department of Mathematics,School of Applied Sciences,\\ KIIT Deemed to be University, Bhubaneswar-751024,Odisha, India
  • Laxmipriya Nayak Department of Mathematics,School of Applied Sciences,\\ KIIT Deemed to be University, Bhubaneswar-751024,Odisha, India

Abstract

In the Cartesian two-dimensional space, this note applies a mixed quadrature rule in conjunction with an adaptive scheme across the circular surface.The two mathematical processes that result in a regular square area from the circular surface.The mixed quadrature rule was assessed in an adaptive scheme using five numerical tests. It was discovered to be more effective than Boole's rule.

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Published

09/01/2024

Issue

Vol. 15 No. 3 (2024): Mathematics in Science, Engineering, and Aerospace (MESA)

Section

Articles