On triangles numerical integration scheme for real definite integrals

Authors

  • Sunita Kumari Nayak Department of Mathematics, School of Applied Sciences,\\ Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Saumya Ranjan Jena 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
  • Mrutyunjay Das Department of Mathematics, School of Applied Sciences,\\ Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Manoranjan Sahoo Department of Mathematics, School of Applied Sciences,\\ Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Arijit Patra Department of Mathematics, School of Applied Sciences,\\ Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India
  • Satya Kumar Misra Department of Mathematics, School of Applied Sciences,\\ Kalinga Institute of Industrial Technology(KIIT) Deemed to be University\\ Bhubaneswar-751024,Odisha,India

Abstract

 This manuscript describes the numerical solution of definie integrals in real sense on triangular domain. The conventional triangle is mapped via a mathematical transformation from $(p,q)$ to $(\psi,\omega)$. The outcomes are coming out for new scheme and errors estimated.

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Published

03/01/2025

Issue

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

Section

Articles