Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences

Authors

Saumya Ranjan Jena, School of Applied sciences, Department of Mathematics, KIIT Deemed to be University, Bhubaneswar, Odisha, India.Follow
Damayanti Nayak, Humanities and Department of Mathematics, Odisha University of Technology and Research, Bhubaneswar, IndiaFollow
Mitali Madhumita Acharya, School of Applied sciences, Department of Mathematics, KIIT Deemed to be University, Bhubaneswar, Odisha, India.Follow
Satya Kumar Misra, School of Applied sciences, Department of Mathematics, KIIT Deemed to be University, Bhubaneswar, Odisha, India.Follow

Abstract

In this work, a joint quadrature for numerical solution of the double integral is presented. This method is based on combining two rules of the same precision level to form a higher level of precision. Numerical results of the present method with a lower level of precision are presented and compared with those performed by the existing high-precision Gauss-Legendre five-point rule in two variables, which has the same functional evaluation. The efficiency of the proposed method is justified with numerical examples. From an application point of view, the determination of the center of gravity is a special consideration for the present scheme. Convergence analysis is demonstrated to validate the current method.

Keywords

Center of gravity, Convergence analysis, Density function, Degree of Precision, Joint quadrature, Maclaurin's series. MSC 2010:65D30, 65D32

Article Type

Article

How to Cite this Article

Jena, Saumya Ranjan; Nayak, Damayanti; Acharya, Mitali Madhumita; and Misra, Satya Kumar (2023) "Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences," Baghdad Science Journal: Vol. 20: Iss. 5, Article 15.
DOI: https://doi.org/10.21123/bsj.2023.7376