Numerical solution of neutral functional-differential equations with proportional delays
In this paper, homotopy analysis method is improved with optimal determination of auxiliary parameter by use of residual error function for solving neutral functional-differential equations (NFDEs) with proportional delays. Convergence analysis and error estimate of method are given. Some numerical...
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| Format: | Article |
| Language: | English |
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Balikesir University
2017-07-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://ijocta.balikesir.edu.tr/index.php/files/article/view/360 |
| _version_ | 1797912821877440512 |
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| author | Mehmet Giyas Sakar |
| author_facet | Mehmet Giyas Sakar |
| author_sort | Mehmet Giyas Sakar |
| collection | DOAJ |
| description | In this paper, homotopy analysis method is improved with optimal determination of auxiliary parameter by use of residual error function for solving neutral functional-differential equations (NFDEs) with proportional delays. Convergence analysis and error estimate of method are given. Some numerical examples are solved and comparisons are made with the existing results. The numerical results show that the homotopy analysis method with residual error function is very effective and simple. |
| first_indexed | 2024-04-10T12:03:06Z |
| format | Article |
| id | doaj.art-00a1ad54eb1d4b31992eda42fd906ef6 |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T12:03:06Z |
| publishDate | 2017-07-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-00a1ad54eb1d4b31992eda42fd906ef62023-02-15T16:16:26ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032017-07-017218619410.11121/ijocta.01.2017.00360112Numerical solution of neutral functional-differential equations with proportional delaysMehmet Giyas Sakar0Yuzuncu Yil UniversityIn this paper, homotopy analysis method is improved with optimal determination of auxiliary parameter by use of residual error function for solving neutral functional-differential equations (NFDEs) with proportional delays. Convergence analysis and error estimate of method are given. Some numerical examples are solved and comparisons are made with the existing results. The numerical results show that the homotopy analysis method with residual error function is very effective and simple.http://ijocta.balikesir.edu.tr/index.php/files/article/view/360Homotopy analysis methodResidual error functionConvergenceNeutral functional- differential equationProportional delay |
| spellingShingle | Mehmet Giyas Sakar Numerical solution of neutral functional-differential equations with proportional delays An International Journal of Optimization and Control: Theories & Applications Homotopy analysis method Residual error function Convergence Neutral functional- differential equation Proportional delay |
| title | Numerical solution of neutral functional-differential equations with proportional delays |
| title_full | Numerical solution of neutral functional-differential equations with proportional delays |
| title_fullStr | Numerical solution of neutral functional-differential equations with proportional delays |
| title_full_unstemmed | Numerical solution of neutral functional-differential equations with proportional delays |
| title_short | Numerical solution of neutral functional-differential equations with proportional delays |
| title_sort | numerical solution of neutral functional differential equations with proportional delays |
| topic | Homotopy analysis method Residual error function Convergence Neutral functional- differential equation Proportional delay |
| url | http://ijocta.balikesir.edu.tr/index.php/files/article/view/360 |
| work_keys_str_mv | AT mehmetgiyassakar numericalsolutionofneutralfunctionaldifferentialequationswithproportionaldelays |