An adaptive technique over triangles for approximate evolution of real definite integrals

Authors

  • Saumya Ranjan Jen Jena Department of Mathematics, School of Applied Sciences, \\KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Sunita Kumari Nayak 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
  • Archana Senapati 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
  • Sourav Shil Department of Mathematics, School of Applied Sciences, \\KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India
  • Arijit Patra Arijit Patra Department of Mathematics, School of Applied Sciences, \\KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India

Abstract

 The adaptive quadrature rule is used on this manuscript over triangle or specially over unit triangle thouhg two transformations to find square region.The rule is applied on five examples with an error estimation.The obtained results are compared with results of rules of lower precision and found to be better. 

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Published

11/30/2024 — Updated on 01/16/2025

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Issue

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

Section

Articles