An efficient computational approach for numerical solution of non-smooth dynamical systems
In this paper, an efficient computational approach based on the fantastic Simpson integral formula is developed for the numerical solution of nonsmooth dynamical equations. In the proposed approach, at first, the integral reformulation of the target problem is intended. Then, the Simpson formula is...
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| Format: | Article |
| Language: | English |
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Amirkabir University of Technology
2025-01-01
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| Series: | AUT Journal of Mathematics and Computing |
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| Online Access: | https://ajmc.aut.ac.ir/article_5286_f680c74705697aa95b7838f5cf563ca4.pdf |
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| author | Mohammad Ali Mehrpouya Hossein Heidary |
| author_facet | Mohammad Ali Mehrpouya Hossein Heidary |
| author_sort | Mohammad Ali Mehrpouya |
| collection | DOAJ |
| description | In this paper, an efficient computational approach based on the fantastic Simpson integral formula is developed for the numerical solution of nonsmooth dynamical equations. In the proposed approach, at first, the integral reformulation of the target problem is intended. Then, the Simpson formula is employed to discretize the obtained integral equation. It is mentioned that, the implementation of the method is simple, so, the method can be simply and quickly used to solvea wide variety of non-smooth dynamical systems arising in the various engineering models. Numerical experiments of two benchmark examples are presented at the end and the efficiency of the method is reported. |
| format | Article |
| id | doaj-art-4b1704b5d732437596a35c9eeabfd9dc |
| institution | OA Journals |
| issn | 2783-2449 2783-2287 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj-art-4b1704b5d732437596a35c9eeabfd9dc2025-08-20T01:54:16ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872025-01-01611810.22060/ajmc.2023.22596.11805286An efficient computational approach for numerical solution of non-smooth dynamical systemsMohammad Ali Mehrpouya0Hossein Heidary1Department of Mathematics, Tafresh University, P.O. Box 39518-79611, Tafresh, IranDepartment of Mechanical Engineering, Tafresh University, P.O. Box 39518-79611, Tafresh, IranIn this paper, an efficient computational approach based on the fantastic Simpson integral formula is developed for the numerical solution of nonsmooth dynamical equations. In the proposed approach, at first, the integral reformulation of the target problem is intended. Then, the Simpson formula is employed to discretize the obtained integral equation. It is mentioned that, the implementation of the method is simple, so, the method can be simply and quickly used to solvea wide variety of non-smooth dynamical systems arising in the various engineering models. Numerical experiments of two benchmark examples are presented at the end and the efficiency of the method is reported.https://ajmc.aut.ac.ir/article_5286_f680c74705697aa95b7838f5cf563ca4.pdfnon-smooth dynamical equationintegral equationsimpson formulasystem of algebraic equations |
| spellingShingle | Mohammad Ali Mehrpouya Hossein Heidary An efficient computational approach for numerical solution of non-smooth dynamical systems AUT Journal of Mathematics and Computing non-smooth dynamical equation integral equation simpson formula system of algebraic equations |
| title | An efficient computational approach for numerical solution of non-smooth dynamical systems |
| title_full | An efficient computational approach for numerical solution of non-smooth dynamical systems |
| title_fullStr | An efficient computational approach for numerical solution of non-smooth dynamical systems |
| title_full_unstemmed | An efficient computational approach for numerical solution of non-smooth dynamical systems |
| title_short | An efficient computational approach for numerical solution of non-smooth dynamical systems |
| title_sort | efficient computational approach for numerical solution of non smooth dynamical systems |
| topic | non-smooth dynamical equation integral equation simpson formula system of algebraic equations |
| url | https://ajmc.aut.ac.ir/article_5286_f680c74705697aa95b7838f5cf563ca4.pdf |
| work_keys_str_mv | AT mohammadalimehrpouya anefficientcomputationalapproachfornumericalsolutionofnonsmoothdynamicalsystems AT hosseinheidary anefficientcomputationalapproachfornumericalsolutionofnonsmoothdynamicalsystems AT mohammadalimehrpouya efficientcomputationalapproachfornumericalsolutionofnonsmoothdynamicalsystems AT hosseinheidary efficientcomputationalapproachfornumericalsolutionofnonsmoothdynamicalsystems |