A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems
In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly per-turbed boundary...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2020346?viewType=HTML |
| _version_ | 1818398883390160896 |
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| author | Ghulam Mustafa Dumitru Baleanu Syeda Tehmina Ejaz Kaweeta Anjum Ali Ahmadian Soheil Salahshour Massimiliano Ferrara |
| author_facet | Ghulam Mustafa Dumitru Baleanu Syeda Tehmina Ejaz Kaweeta Anjum Ali Ahmadian Soheil Salahshour Massimiliano Ferrara |
| author_sort | Ghulam Mustafa |
| collection | DOAJ |
| description | In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly per-turbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd order NSPBVP arising from combustion, chemical reactor theory, nuclear engi-neering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation. |
| first_indexed | 2024-12-14T07:11:52Z |
| format | Article |
| id | doaj.art-997bad7048274ac9ba446b6e5f189115 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-14T07:11:52Z |
| publishDate | 2020-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-997bad7048274ac9ba446b6e5f1891152022-12-21T23:11:48ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-09-011766659667710.3934/mbe.2020346A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problemsGhulam Mustafa0Dumitru Baleanu1Syeda Tehmina Ejaz2Kaweeta Anjum3Ali Ahmadian4Soheil Salahshour5Massimiliano Ferrara61. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan2. Department of Mathematics, Cankaya University, Ankara 06530, Turkey 3. Institute of Space Sciences, 077125 Magurele-Bucharest, Romania 4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan5. Department of Mathematics, The Government Sadiq College Women University, Bahawalpur 63100, Pakistan1. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan6. Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia8. Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, Reggio Calabria, Italy7. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey8. Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, Reggio Calabria, ItalyIn this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly per-turbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd order NSPBVP arising from combustion, chemical reactor theory, nuclear engi-neering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation.https://www.aimspress.com/article/doi/10.3934/mbe.2020346?viewType=HTMLsubdivision schemesinterpolationapproximationsingularly perturbed boundary value problemiterative algorithm |
| spellingShingle | Ghulam Mustafa Dumitru Baleanu Syeda Tehmina Ejaz Kaweeta Anjum Ali Ahmadian Soheil Salahshour Massimiliano Ferrara A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems Mathematical Biosciences and Engineering subdivision schemes interpolation approximation singularly perturbed boundary value problem iterative algorithm |
| title | A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems |
| title_full | A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems |
| title_fullStr | A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems |
| title_full_unstemmed | A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems |
| title_short | A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems |
| title_sort | 6 point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems |
| topic | subdivision schemes interpolation approximation singularly perturbed boundary value problem iterative algorithm |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2020346?viewType=HTML |
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