An effective  quadrature rule for multiple integrals

Authors

  • Saumya Ranjan Jena Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.
  • Birupakhya Prasad Padhy Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.
  • Prasanta Kumar Mohanty Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.
  • Utkal Keshari Dutta Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.
  • Mrutyunjay Das Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.
  • Satya Kumar Mishra Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.
  • Debdulal Panda Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.
  • Manas Ranjan Mohapatra Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.
  • Bhupati Bhusan Mishra Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology(KIIT) Deemed to be University, Odisha, Bhubaneswar-751024.

Abstract

In this study two individual rules are combined to form higher precision rule and implemented on double integrals to give better accuracy than two individual rules. Numerical test  problems along with error bound has imposed to validate the present topic. All computational work are simulated with MATLAB FORMAT LONG.

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Published

2026-02-28

Issue

Vol. 33 No. 1 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Saumya Ranjan Jena, Birupakhya Prasad Padhy, Prasanta Kumar Mohanty , Utkal Keshari Dutta , Mrutyunjay Das, Satya Kumar Mishra, Debdulal Panda, Manas Ranjan Mohapatra, Bhupati Bhusan Mishra

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

An effective  quadrature rule for multiple integrals. (2026). Nonlinear Studies, 33(1), 149-156. https://nonlinearstudies.com/index.php/nonlinear/article/view/4239