On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics
In this paper, a parameter uniform computational technique is examined for a partially singularly perturbed semi-linear system of equations which models the flight dynamics of an Unmanned Aerial Vehicle (UAV) and a Helicopter. The components of the solution of this system are expected to exhibit ove...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-03-01
|
| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720723000103 |
| _version_ | 1827996634039975936 |
|---|---|
| author | K. Saravana Sankar L. Jones Tarcius Doss |
| author_facet | K. Saravana Sankar L. Jones Tarcius Doss |
| author_sort | K. Saravana Sankar |
| collection | DOAJ |
| description | In this paper, a parameter uniform computational technique is examined for a partially singularly perturbed semi-linear system of equations which models the flight dynamics of an Unmanned Aerial Vehicle (UAV) and a Helicopter. The components of the solution of this system are expected to exhibit overlapping boundary layers at the origin. To resolve the layers, a piecewise uniform Shishkin mesh is constructed so that a half of the mesh points are obtained in the layer region. The numerical method is proved to be parameter uniform and first order convergent. The method is tested for few numerical examples. |
| first_indexed | 2024-04-10T05:15:02Z |
| format | Article |
| id | doaj.art-915c9980300649399981931a9ca133bb |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-04-10T05:15:02Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-915c9980300649399981931a9ca133bb2023-03-09T04:13:54ZengElsevierResults in Control and Optimization2666-72072023-03-0110100208On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamicsK. Saravana Sankar0L. Jones Tarcius Doss1Department of Mathematics, CEG, Anna University, Chennai, 600025, Tamil Nadu, IndiaCorresponding author.; Department of Mathematics, CEG, Anna University, Chennai, 600025, Tamil Nadu, IndiaIn this paper, a parameter uniform computational technique is examined for a partially singularly perturbed semi-linear system of equations which models the flight dynamics of an Unmanned Aerial Vehicle (UAV) and a Helicopter. The components of the solution of this system are expected to exhibit overlapping boundary layers at the origin. To resolve the layers, a piecewise uniform Shishkin mesh is constructed so that a half of the mesh points are obtained in the layer region. The numerical method is proved to be parameter uniform and first order convergent. The method is tested for few numerical examples.http://www.sciencedirect.com/science/article/pii/S2666720723000103System of singularly perturbed equationsNon-linear controlUAV modelBoundary layersShishkin mesh |
| spellingShingle | K. Saravana Sankar L. Jones Tarcius Doss On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics Results in Control and Optimization System of singularly perturbed equations Non-linear control UAV model Boundary layers Shishkin mesh |
| title | On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics |
| title_full | On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics |
| title_fullStr | On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics |
| title_full_unstemmed | On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics |
| title_short | On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics |
| title_sort | on parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics |
| topic | System of singularly perturbed equations Non-linear control UAV model Boundary layers Shishkin mesh |
| url | http://www.sciencedirect.com/science/article/pii/S2666720723000103 |
| work_keys_str_mv | AT ksaravanasankar onparameteruniformandlayerresolvingnumericalmethodforasingularlyperturbedmodelinaerodynamics AT ljonestarciusdoss onparameteruniformandlayerresolvingnumericalmethodforasingularlyperturbedmodelinaerodynamics |