Solving neutral delay differential equations of pantograph type by using multistep block method
This paper will implement the use of two-point block method in the form of predictor-corrector Adams-Moulton to solve first order neutral delay differential equations (NDDES) of pantograph type. This two-point block method will compute the numerical solution at two points simultaneously. This method...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51885/1/Solving%20neutral%20delay%20differential%20equations%20of%20pantograph%20type%20by%20using%20multistep%20block%20method.pdf |
| _version_ | 1825930616685723648 |
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| author | Hoo, Yann Seong Abdul Majid, Zanariah |
| author_facet | Hoo, Yann Seong Abdul Majid, Zanariah |
| author_sort | Hoo, Yann Seong |
| collection | UPM |
| description | This paper will implement the use of two-point block method in the form of predictor-corrector Adams-Moulton to solve first order neutral delay differential equations (NDDES) of pantograph type. This two-point block method will compute the numerical solution at two points simultaneously. This method will approximate the solutions using constant step size. The delay solutions for the unknown function and its derivative are interpolated using the previous computed values. Numerical results are presented to show that the proposed method is suitable for solving first order neutral delay differential equations (NDDES) of pantograph type. |
| first_indexed | 2024-03-06T09:14:16Z |
| format | Conference or Workshop Item |
| id | upm.eprints-51885 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:16Z |
| publishDate | 2015 |
| publisher | IEEE |
| record_format | dspace |
| spelling | upm.eprints-518852017-05-03T04:09:17Z http://psasir.upm.edu.my/id/eprint/51885/ Solving neutral delay differential equations of pantograph type by using multistep block method Hoo, Yann Seong Abdul Majid, Zanariah This paper will implement the use of two-point block method in the form of predictor-corrector Adams-Moulton to solve first order neutral delay differential equations (NDDES) of pantograph type. This two-point block method will compute the numerical solution at two points simultaneously. This method will approximate the solutions using constant step size. The delay solutions for the unknown function and its derivative are interpolated using the previous computed values. Numerical results are presented to show that the proposed method is suitable for solving first order neutral delay differential equations (NDDES) of pantograph type. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51885/1/Solving%20neutral%20delay%20differential%20equations%20of%20pantograph%20type%20by%20using%20multistep%20block%20method.pdf Hoo, Yann Seong and Abdul Majid, Zanariah (2015) Solving neutral delay differential equations of pantograph type by using multistep block method. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 56-60). http://ieeexplore.ieee.org/document/7357026/authors 10.1109/ICREM.2015.7357026 |
| spellingShingle | Hoo, Yann Seong Abdul Majid, Zanariah Solving neutral delay differential equations of pantograph type by using multistep block method |
| title | Solving neutral delay differential equations of pantograph type by using multistep block method |
| title_full | Solving neutral delay differential equations of pantograph type by using multistep block method |
| title_fullStr | Solving neutral delay differential equations of pantograph type by using multistep block method |
| title_full_unstemmed | Solving neutral delay differential equations of pantograph type by using multistep block method |
| title_short | Solving neutral delay differential equations of pantograph type by using multistep block method |
| title_sort | solving neutral delay differential equations of pantograph type by using multistep block method |
| url | http://psasir.upm.edu.my/id/eprint/51885/1/Solving%20neutral%20delay%20differential%20equations%20of%20pantograph%20type%20by%20using%20multistep%20block%20method.pdf |
| work_keys_str_mv | AT hooyannseong solvingneutraldelaydifferentialequationsofpantographtypebyusingmultistepblockmethod AT abdulmajidzanariah solvingneutraldelaydifferentialequationsofpantographtypebyusingmultistepblockmethod |