Optimal variational iteration method for parametric boundary value problem
Mathematical applications in engineering have a long history. One of the most well-known analytical techniques, the optimal variational iteration method (OVIM), is utilized to construct a quick and accurate algorithm for a special fourth-order ordinary initial value problem. Many researchers have di...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022912?viewType=HTML |
| _version_ | 1818194747644182528 |
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| author | Qura Tul Ain Muhammad Nadeem Shazia Karim Ali Akgül Fahd Jarad |
| author_facet | Qura Tul Ain Muhammad Nadeem Shazia Karim Ali Akgül Fahd Jarad |
| author_sort | Qura Tul Ain |
| collection | DOAJ |
| description | Mathematical applications in engineering have a long history. One of the most well-known analytical techniques, the optimal variational iteration method (OVIM), is utilized to construct a quick and accurate algorithm for a special fourth-order ordinary initial value problem. Many researchers have discussed the problem involving a parameter c. We solve the parametric boundary value problem that can't be addressed using conventional analytical methods for greater values of c using a new method and a convergence control parameter h. We achieve a convergent solution no matter how huge c is. For the approximation of the convergence control parameter h, two strategies have been discussed. The advantages of one technique over another have been demonstrated. Optimal variational iteration method can be seen as an effective technique to solve parametric boundary value problem. |
| first_indexed | 2024-12-12T01:07:13Z |
| format | Article |
| id | doaj.art-ef4690965ca94458a3a45f7d126bb7a9 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-12T01:07:13Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ef4690965ca94458a3a45f7d126bb7a92022-12-22T00:43:33ZengAIMS PressAIMS Mathematics2473-69882022-07-0179166491665610.3934/math.2022912Optimal variational iteration method for parametric boundary value problemQura Tul Ain 0Muhammad Nadeem1Shazia Karim2Ali Akgül3Fahd Jarad 41. Department of Mathematics, Guizhou University, Guiyang 550025, China2. Faculty of Science, Yibin University, 644000, Yibin, China3. Department of Basic Sciences, FSD Campus, UET Lahore, Pakistan4. Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey5. Department of Mathematics, Çankaya University, 06790, Etimesgut, Ankara, Turkey 6. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia 7. Department of Medical Research, China Medical University, Taichung, 40402, TaiwanMathematical applications in engineering have a long history. One of the most well-known analytical techniques, the optimal variational iteration method (OVIM), is utilized to construct a quick and accurate algorithm for a special fourth-order ordinary initial value problem. Many researchers have discussed the problem involving a parameter c. We solve the parametric boundary value problem that can't be addressed using conventional analytical methods for greater values of c using a new method and a convergence control parameter h. We achieve a convergent solution no matter how huge c is. For the approximation of the convergence control parameter h, two strategies have been discussed. The advantages of one technique over another have been demonstrated. Optimal variational iteration method can be seen as an effective technique to solve parametric boundary value problem.https://www.aimspress.com/article/doi/10.3934/math.2022912?viewType=HTMLboundary value problemh-curvesresidual error methodoptimal variational iteration method |
| spellingShingle | Qura Tul Ain Muhammad Nadeem Shazia Karim Ali Akgül Fahd Jarad Optimal variational iteration method for parametric boundary value problem AIMS Mathematics boundary value problem h-curves residual error method optimal variational iteration method |
| title | Optimal variational iteration method for parametric boundary value problem |
| title_full | Optimal variational iteration method for parametric boundary value problem |
| title_fullStr | Optimal variational iteration method for parametric boundary value problem |
| title_full_unstemmed | Optimal variational iteration method for parametric boundary value problem |
| title_short | Optimal variational iteration method for parametric boundary value problem |
| title_sort | optimal variational iteration method for parametric boundary value problem |
| topic | boundary value problem h-curves residual error method optimal variational iteration method |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022912?viewType=HTML |
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