Analytical Solution of System of Volterra Integral Equations Using OHAM
In this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed technique is successfully applied for the solution of different problems, and comparison is made with the relaxed Monto Carlo...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8845491 |
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| author | Muhammad Akbar Rashid Nawaz Sumbal Ahsan Dumitru Baleanu Kottakkaran Sooppy Nisar |
| author_facet | Muhammad Akbar Rashid Nawaz Sumbal Ahsan Dumitru Baleanu Kottakkaran Sooppy Nisar |
| author_sort | Muhammad Akbar |
| collection | DOAJ |
| description | In this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed technique is successfully applied for the solution of different problems, and comparison is made with the relaxed Monto Carlo method (RMCM) and hat basis function method (HBFM). The comparisons show that the present technique is more suitable and reliable for the solution of a system of VIEs. The presented technique uses auxiliary function containing auxiliary constants, which control the convergence. Moreover, OHAM does not require discretization like other numerical methods and is also free from small or large parameter. |
| format | Article |
| id | doaj-art-b8148bad59284164bc6c9fa73f466647 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b8148bad59284164bc6c9fa73f4666472025-02-03T06:46:58ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88454918845491Analytical Solution of System of Volterra Integral Equations Using OHAMMuhammad Akbar0Rashid Nawaz1Sumbal Ahsan2Dumitru Baleanu3Kottakkaran Sooppy Nisar4Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Cankaya University, Ankara 06790, TurkeyDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser, Saudi ArabiaIn this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed technique is successfully applied for the solution of different problems, and comparison is made with the relaxed Monto Carlo method (RMCM) and hat basis function method (HBFM). The comparisons show that the present technique is more suitable and reliable for the solution of a system of VIEs. The presented technique uses auxiliary function containing auxiliary constants, which control the convergence. Moreover, OHAM does not require discretization like other numerical methods and is also free from small or large parameter.http://dx.doi.org/10.1155/2020/8845491 |
| spellingShingle | Muhammad Akbar Rashid Nawaz Sumbal Ahsan Dumitru Baleanu Kottakkaran Sooppy Nisar Analytical Solution of System of Volterra Integral Equations Using OHAM Journal of Mathematics |
| title | Analytical Solution of System of Volterra Integral Equations Using OHAM |
| title_full | Analytical Solution of System of Volterra Integral Equations Using OHAM |
| title_fullStr | Analytical Solution of System of Volterra Integral Equations Using OHAM |
| title_full_unstemmed | Analytical Solution of System of Volterra Integral Equations Using OHAM |
| title_short | Analytical Solution of System of Volterra Integral Equations Using OHAM |
| title_sort | analytical solution of system of volterra integral equations using oham |
| url | http://dx.doi.org/10.1155/2020/8845491 |
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