Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences
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 compare...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2023-10-01
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| Series: | Baghdad Science Journal |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/7376 |
| _version_ | 1797669451980603392 |
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| author | Saumya Ranjan Jena Damayanti Nayak Mitali Madhumita Acharya Satya Kumar Misra |
| author_facet | Saumya Ranjan Jena Damayanti Nayak Mitali Madhumita Acharya Satya Kumar Misra |
| author_sort | Saumya Ranjan Jena |
| collection | DOAJ |
| description |
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.
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| first_indexed | 2024-03-11T20:44:34Z |
| format | Article |
| id | doaj.art-a3f981df962e48fcb68a6b4caf6dc5d7 |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-03-11T20:44:34Z |
| publishDate | 2023-10-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-a3f981df962e48fcb68a6b4caf6dc5d72023-10-01T19:55:43ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862023-10-0120510.21123/bsj.2023.7376Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical SciencesSaumya Ranjan Jena0Damayanti Nayak1Mitali Madhumita Acharya2Satya Kumar Misra3School of Applied sciences, Department of Mathematics, KIIT Deemed to be University, Bhubaneswar, Odisha, India. Humanities and Department of Mathematics, Odisha University of Technology and Research, Bhubaneswar, IndiaSchool of Applied sciences, Department of Mathematics, KIIT Deemed to be University, Bhubaneswar, Odisha, India. School of Applied sciences, Department of Mathematics, KIIT Deemed to be University, Bhubaneswar, Odisha, India. 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. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/7376Center of gravity, Convergence analysis, Density function, Degree of Precision, Joint quadrature, Maclaurin's series. MSC 2010:65D30, 65D32 |
| spellingShingle | Saumya Ranjan Jena Damayanti Nayak Mitali Madhumita Acharya Satya Kumar Misra Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences Baghdad Science Journal Center of gravity, Convergence analysis, Density function, Degree of Precision, Joint quadrature, Maclaurin's series. MSC 2010:65D30, 65D32 |
| title | Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences |
| title_full | Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences |
| title_fullStr | Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences |
| title_full_unstemmed | Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences |
| title_short | Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences |
| title_sort | numerical investigation error analysis and application of joint quadrature scheme in physical sciences |
| topic | Center of gravity, Convergence analysis, Density function, Degree of Precision, Joint quadrature, Maclaurin's series. MSC 2010:65D30, 65D32 |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/7376 |
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