Cubic spline solutions of the ninth order linear and non-linear boundary value problems
A lot of numerical formulations of physical phenomena contain 9th-order BVPs. The presented probe intends to consider the spline solutions of the 9th-order boundary value problems using Cubic B Spline(CBS). Ninth order boundary value problems arise in the study of laminar viscous flow in a semi-poro...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822003179 |
| _version_ | 1828088624277618688 |
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| author | Xiao-Zhong Zhang Aasma Khalid Mustafa Inc Akmal Rehan Kottakkaran Sooppy Nisar M.S. Osman |
| author_facet | Xiao-Zhong Zhang Aasma Khalid Mustafa Inc Akmal Rehan Kottakkaran Sooppy Nisar M.S. Osman |
| author_sort | Xiao-Zhong Zhang |
| collection | DOAJ |
| description | A lot of numerical formulations of physical phenomena contain 9th-order BVPs. The presented probe intends to consider the spline solutions of the 9th-order boundary value problems using Cubic B Spline(CBS). Ninth order boundary value problems arise in the study of laminar viscous flow in a semi-porous channel, astrophysics, hydrodynamic & hydro-magnetic stability. The derived technique is exceptionally useful and is appropriate for such kinds of linear and non-linear boundary value problems. Cubic B Spline(CBS) is successfully applied to mathematical models. The outcomes are contrasted to those presented in the literature, revealing that the introduced technique leads to an advisable estimation of the exact solution. |
| first_indexed | 2024-04-11T05:29:27Z |
| format | Article |
| id | doaj.art-93c53b490be54310b035eefd2476b672 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-11T05:29:27Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-93c53b490be54310b035eefd2476b6722022-12-23T04:38:58ZengElsevierAlexandria Engineering Journal1110-01682022-12-0161121163511649Cubic spline solutions of the ninth order linear and non-linear boundary value problemsXiao-Zhong Zhang0Aasma Khalid1Mustafa Inc2Akmal Rehan3Kottakkaran Sooppy Nisar4M.S. Osman5School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, ChinaDepartment of Mathematics, GC Women University Faisalabad, 38000, PakistanDepartment of Computer Engineering, Biruni University, Istanbul, Turkey; Department of Mathematics, Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan; Corresponding authors at: Department of Computer Engineering, Biruni University, Istnbul, Turkey (M. Inc).Department of Computer Science, University of Agriculture Faisalabad, 38000, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawasir, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt; Corresponding authors at: Department of Computer Engineering, Biruni University, Istnbul, Turkey (M. Inc).A lot of numerical formulations of physical phenomena contain 9th-order BVPs. The presented probe intends to consider the spline solutions of the 9th-order boundary value problems using Cubic B Spline(CBS). Ninth order boundary value problems arise in the study of laminar viscous flow in a semi-porous channel, astrophysics, hydrodynamic & hydro-magnetic stability. The derived technique is exceptionally useful and is appropriate for such kinds of linear and non-linear boundary value problems. Cubic B Spline(CBS) is successfully applied to mathematical models. The outcomes are contrasted to those presented in the literature, revealing that the introduced technique leads to an advisable estimation of the exact solution.http://www.sciencedirect.com/science/article/pii/S111001682200317934B0534B1541A1565D0765D1065L20 |
| spellingShingle | Xiao-Zhong Zhang Aasma Khalid Mustafa Inc Akmal Rehan Kottakkaran Sooppy Nisar M.S. Osman Cubic spline solutions of the ninth order linear and non-linear boundary value problems Alexandria Engineering Journal 34B05 34B15 41A15 65D07 65D10 65L20 |
| title | Cubic spline solutions of the ninth order linear and non-linear boundary value problems |
| title_full | Cubic spline solutions of the ninth order linear and non-linear boundary value problems |
| title_fullStr | Cubic spline solutions of the ninth order linear and non-linear boundary value problems |
| title_full_unstemmed | Cubic spline solutions of the ninth order linear and non-linear boundary value problems |
| title_short | Cubic spline solutions of the ninth order linear and non-linear boundary value problems |
| title_sort | cubic spline solutions of the ninth order linear and non linear boundary value problems |
| topic | 34B05 34B15 41A15 65D07 65D10 65L20 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822003179 |
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