Bezier curves for solving Fredholm integral equations of the second kind
The Bezier curves are presented to estimate the solution of the linear Fredholm integral equation of the second kind. A direct algorithm for solving this problem is given. We have chosen the Bezier curves as piecewise polynomials of degree n and determine Bezier curves on [0, 1] by n + 1 control poi...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/36629/1/Bezier%20curves%20for%20solving%20Fredholm%20integral%20equations%20of%20the%20second%20kind.pdf |
| _version_ | 1825948879185510400 |
|---|---|
| author | Ghomanjani, Fateme Farahi, Mohammad Hadi Kilicman, Adem |
| author_facet | Ghomanjani, Fateme Farahi, Mohammad Hadi Kilicman, Adem |
| author_sort | Ghomanjani, Fateme |
| collection | UPM |
| description | The Bezier curves are presented to estimate the solution of the linear Fredholm integral equation of the second kind. A direct algorithm for solving this problem is given. We have chosen the Bezier curves as piecewise polynomials of degree n and determine Bezier curves on [0, 1] by n + 1 control points. Numerical examples illustrate that the algorithm is applicable and very easy to use. |
| first_indexed | 2024-03-06T08:35:54Z |
| format | Article |
| id | upm.eprints-36629 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:35:54Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-366292015-10-09T07:24:57Z http://psasir.upm.edu.my/id/eprint/36629/ Bezier curves for solving Fredholm integral equations of the second kind Ghomanjani, Fateme Farahi, Mohammad Hadi Kilicman, Adem The Bezier curves are presented to estimate the solution of the linear Fredholm integral equation of the second kind. A direct algorithm for solving this problem is given. We have chosen the Bezier curves as piecewise polynomials of degree n and determine Bezier curves on [0, 1] by n + 1 control points. Numerical examples illustrate that the algorithm is applicable and very easy to use. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36629/1/Bezier%20curves%20for%20solving%20Fredholm%20integral%20equations%20of%20the%20second%20kind.pdf Ghomanjani, Fateme and Farahi, Mohammad Hadi and Kilicman, Adem (2014) Bezier curves for solving Fredholm integral equations of the second kind. Mathematical Problems in Engineering, 2014. art. no. 147497. pp. 1-6. ISSN 1024-123X; ESSN: 1563-5147 http://www.hindawi.com/journals/mpe/2014/147497/ 10.1155/2014/147497 |
| spellingShingle | Ghomanjani, Fateme Farahi, Mohammad Hadi Kilicman, Adem Bezier curves for solving Fredholm integral equations of the second kind |
| title | Bezier curves for solving Fredholm integral equations of the second kind |
| title_full | Bezier curves for solving Fredholm integral equations of the second kind |
| title_fullStr | Bezier curves for solving Fredholm integral equations of the second kind |
| title_full_unstemmed | Bezier curves for solving Fredholm integral equations of the second kind |
| title_short | Bezier curves for solving Fredholm integral equations of the second kind |
| title_sort | bezier curves for solving fredholm integral equations of the second kind |
| url | http://psasir.upm.edu.my/id/eprint/36629/1/Bezier%20curves%20for%20solving%20Fredholm%20integral%20equations%20of%20the%20second%20kind.pdf |
| work_keys_str_mv | AT ghomanjanifateme beziercurvesforsolvingfredholmintegralequationsofthesecondkind AT farahimohammadhadi beziercurvesforsolvingfredholmintegralequationsofthesecondkind AT kilicmanadem beziercurvesforsolvingfredholmintegralequationsofthesecondkind |