Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method
Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is considered by combining the radial and pol...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2020-07-01
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| Series: | Baghdad Science Journal |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3336 |
| _version_ | 1818473019923759104 |
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| author | Nahdh S. M. Al-Saif Ameen Sh. Ameen |
| author_facet | Nahdh S. M. Al-Saif Ameen Sh. Ameen |
| author_sort | Nahdh S. M. Al-Saif |
| collection | DOAJ |
| description | Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is considered by combining the radial and polynomial basis functions using collocation points". The main purpose of the radial and polynomial basis functions is to overcome the singularity that could associate with the collocation methods. The obtained interpolation function passes through all Scattered Point in a domain and therefore, the Delta function property is the shape of the functions. The exact solution of selective solutions was compared with the results obtained from the numerical experiments in order to investigate the accuracy and the efficiency of scheme. |
| first_indexed | 2024-04-14T04:17:07Z |
| format | Article |
| id | doaj.art-164bdb3c892644b4807b53ed3ee2db07 |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-04-14T04:17:07Z |
| publishDate | 2020-07-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-164bdb3c892644b4807b53ed3ee2db072022-12-22T02:12:48ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862020-07-0117310.21123/bsj.2020.17.3.0849Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation MethodNahdh S. M. Al-Saif0Ameen Sh. Ameen1University of AnbarUniversity of AnbarVolterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is considered by combining the radial and polynomial basis functions using collocation points". The main purpose of the radial and polynomial basis functions is to overcome the singularity that could associate with the collocation methods. The obtained interpolation function passes through all Scattered Point in a domain and therefore, the Delta function property is the shape of the functions. The exact solution of selective solutions was compared with the results obtained from the numerical experiments in order to investigate the accuracy and the efficiency of scheme.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3336Mixed Volterra - Fredholm integral equations, Radial basis function. |
| spellingShingle | Nahdh S. M. Al-Saif Ameen Sh. Ameen Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method Baghdad Science Journal Mixed Volterra - Fredholm integral equations, Radial basis function. |
| title | Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method |
| title_full | Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method |
| title_fullStr | Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method |
| title_full_unstemmed | Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method |
| title_short | Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method |
| title_sort | numerical solution of mixed volterra fredholm integral equation using the collocation method |
| topic | Mixed Volterra - Fredholm integral equations, Radial basis function. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3336 |
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