Second order of Volterra integro-differential equations using direct two point hybrid block method
A direct method is implemented for the numerical solution of second-order Volterra integro-differential equations (VIDEs). The formulation of two-point hybrid block method will be discussed in this paper to solve second order VIDEs directly without reducing the equations into first order system. The...
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| Format: | Article |
| Language: | English |
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Malaysian Mathematical Sciences Society and Universiti Putra Malaysia Universiti Putra Malaysia
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/82076/ http://psasir.upm.edu.my/id/eprint/82076/1/Second%20order%20of%20Volterra%20.pdf |
| _version_ | 1848859232198197248 |
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| author | Janodi, Mohd Razaie Abdul Majid, Zanariah |
| author_facet | Janodi, Mohd Razaie Abdul Majid, Zanariah |
| author_sort | Janodi, Mohd Razaie |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A direct method is implemented for the numerical solution of second-order Volterra integro-differential equations (VIDEs). The formulation of two-point hybrid block method will be discussed in this paper to solve second order VIDEs directly without reducing the equations into first order system. The proposed method of order four will calculate the computing solutions using constant step size. The quadrature rule has been used to approximate the integral part. Numerical results of linear and nonlinear VIDEs are presented and show that the hybrid block method is appropriate for solving second order VIDEs directly. |
| first_indexed | 2025-11-15T12:26:04Z |
| format | Article |
| id | upm-82076 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:26:04Z |
| publishDate | 2019 |
| publisher | Malaysian Mathematical Sciences Society and Universiti Putra Malaysia Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-820762021-09-08T21:06:17Z http://psasir.upm.edu.my/id/eprint/82076/ Second order of Volterra integro-differential equations using direct two point hybrid block method Janodi, Mohd Razaie Abdul Majid, Zanariah A direct method is implemented for the numerical solution of second-order Volterra integro-differential equations (VIDEs). The formulation of two-point hybrid block method will be discussed in this paper to solve second order VIDEs directly without reducing the equations into first order system. The proposed method of order four will calculate the computing solutions using constant step size. The quadrature rule has been used to approximate the integral part. Numerical results of linear and nonlinear VIDEs are presented and show that the hybrid block method is appropriate for solving second order VIDEs directly. Malaysian Mathematical Sciences Society and Universiti Putra Malaysia Universiti Putra Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82076/1/Second%20order%20of%20Volterra%20.pdf Janodi, Mohd Razaie and Abdul Majid, Zanariah (2019) Second order of Volterra integro-differential equations using direct two point hybrid block method. Discovering Mathematics, 41 (1). pp. 13-21. ISSN 2231-7023 https://myjms.mohe.gov.my/index.php/dismath/article/view/13459 |
| spellingShingle | Janodi, Mohd Razaie Abdul Majid, Zanariah Second order of Volterra integro-differential equations using direct two point hybrid block method |
| title | Second order of Volterra integro-differential equations using direct two point hybrid block method |
| title_full | Second order of Volterra integro-differential equations using direct two point hybrid block method |
| title_fullStr | Second order of Volterra integro-differential equations using direct two point hybrid block method |
| title_full_unstemmed | Second order of Volterra integro-differential equations using direct two point hybrid block method |
| title_short | Second order of Volterra integro-differential equations using direct two point hybrid block method |
| title_sort | second order of volterra integro-differential equations using direct two point hybrid block method |
| url | http://psasir.upm.edu.my/id/eprint/82076/ http://psasir.upm.edu.my/id/eprint/82076/ http://psasir.upm.edu.my/id/eprint/82076/1/Second%20order%20of%20Volterra%20.pdf |