An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis
In this work, we consider a collocation method for solving the pantograph-type Volterra Hammerstein integral equations based on the first kind Chebyshev polynomials. We use the Lagrange interpolating polynomial to approximate the solution. The convergence of the presented method has been analyzed by...
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REA Press
2022-06-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_153956_f64d94f631f3223fc3a41a690c56d809.pdf |
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| author | Hashem Saberi Najafi Sayed Arsalan Sajjadi Hossein Aminikhah |
| author_facet | Hashem Saberi Najafi Sayed Arsalan Sajjadi Hossein Aminikhah |
| author_sort | Hashem Saberi Najafi |
| collection | DOAJ |
| description | In this work, we consider a collocation method for solving the pantograph-type Volterra Hammerstein integral equations based on the first kind Chebyshev polynomials. We use the Lagrange interpolating polynomial to approximate the solution. The convergence of the presented method has been analyzed by over estimating for error. Finally, some illustrative examples are given to test the accuracy of the method. The presented method is compared with the Legendre Tau method. |
| format | Article |
| id | doaj-art-e4d4f124e29f4a528e138680e68d4a4f |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2022-06-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-e4d4f124e29f4a528e138680e68d4a4f2025-01-30T11:20:45ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202022-06-0112617110.22105/cand.2022.153956153956An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence AnalysisHashem Saberi Najafi0Sayed Arsalan Sajjadi1Hossein Aminikhah2Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran.Department of Applied Mathematics and Computer Science, Faculty of Mathematical Sciences, University of Guilan, Iran.Department of Applied Mathematics and Computer Science, Faculty of Mathematical Sciences, University of Guilan, Iran.In this work, we consider a collocation method for solving the pantograph-type Volterra Hammerstein integral equations based on the first kind Chebyshev polynomials. We use the Lagrange interpolating polynomial to approximate the solution. The convergence of the presented method has been analyzed by over estimating for error. Finally, some illustrative examples are given to test the accuracy of the method. The presented method is compared with the Legendre Tau method.https://www.journal-cand.com/article_153956_f64d94f631f3223fc3a41a690c56d809.pdfnumerical solutioncollocation methodpantograph-typevolterra hammerstein integral equationsconvergence analysis |
| spellingShingle | Hashem Saberi Najafi Sayed Arsalan Sajjadi Hossein Aminikhah An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis Computational Algorithms and Numerical Dimensions numerical solution collocation method pantograph-type volterra hammerstein integral equations convergence analysis |
| title | An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis |
| title_full | An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis |
| title_fullStr | An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis |
| title_full_unstemmed | An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis |
| title_short | An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis |
| title_sort | efficient collocation method for the numerical solutions of the pantograph type volterra hammerstein integral equations and its convergence analysis |
| topic | numerical solution collocation method pantograph-type volterra hammerstein integral equations convergence analysis |
| url | https://www.journal-cand.com/article_153956_f64d94f631f3223fc3a41a690c56d809.pdf |
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