Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets
This paper presents the method of solving one-dimensional differential equations through the weighted residual technique, employing Bernoulli wavelets as the basis functions. These wavelets serve as the foundation for the calculation of numerical solutions for one-dimensional differential equations....
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| Format: | Article |
| Language: | English |
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REA Press
2025-03-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_209546_b2d3c900cc03d147b784d1f02cbb366e.pdf |
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| author | Lingaraj Angadi |
| author_facet | Lingaraj Angadi |
| author_sort | Lingaraj Angadi |
| collection | DOAJ |
| description | This paper presents the method of solving one-dimensional differential equations through the weighted residual technique, employing Bernoulli wavelets as the basis functions. These wavelets serve as the foundation for the calculation of numerical solutions for one-dimensional differential equations. The numerical outcomes are contrasted with those from current techniques and the precise solution. A selection of numerical test problems is included to demonstrate the practicality and efficiency of the proposed approach. |
| format | Article |
| id | doaj-art-bd415c1d4662493dbaad86078834dd8f |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-bd415c1d4662493dbaad86078834dd8f2025-01-30T11:24:22ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202025-03-0141485610.22105/cand.2024.488034.1158209546Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli waveletsLingaraj Angadi0Department of Mathematics, Shri Siddeshwar Government First Grade College & P. G. Studies Centre, Nargund – 582207, India.This paper presents the method of solving one-dimensional differential equations through the weighted residual technique, employing Bernoulli wavelets as the basis functions. These wavelets serve as the foundation for the calculation of numerical solutions for one-dimensional differential equations. The numerical outcomes are contrasted with those from current techniques and the precise solution. A selection of numerical test problems is included to demonstrate the practicality and efficiency of the proposed approach.https://www.journal-cand.com/article_209546_b2d3c900cc03d147b784d1f02cbb366e.pdfweighted residual methodbernoulli waveletsone-dimensional differential equationsboundary conditionsfinite difference method |
| spellingShingle | Lingaraj Angadi Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets Computational Algorithms and Numerical Dimensions weighted residual method bernoulli wavelets one-dimensional differential equations boundary conditions finite difference method |
| title | Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets |
| title_full | Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets |
| title_fullStr | Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets |
| title_full_unstemmed | Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets |
| title_short | Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets |
| title_sort | numerical solution of one dimensional differential equations by weighted residual method using bernoulli wavelets |
| topic | weighted residual method bernoulli wavelets one-dimensional differential equations boundary conditions finite difference method |
| url | https://www.journal-cand.com/article_209546_b2d3c900cc03d147b784d1f02cbb366e.pdf |
| work_keys_str_mv | AT lingarajangadi numericalsolutionofonedimensionaldifferentialequationsbyweightedresidualmethodusingbernoulliwavelets |