Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial
Novel matrix based on numerical technique of collocation method via truncated ortho exponential polynomial (OECM) is proposed to approximate the solution of pantograph differential equations. The applicability, reliability, and efficiency of the methodology are examined by applying the method to the...
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| Format: | Article |
| Language: | English |
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Science and Engineering Research Support Society
2020
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| Online Access: | http://umpir.ump.edu.my/id/eprint/31662/ http://umpir.ump.edu.my/id/eprint/31662/7/Solution%20of%20Pantograph%20Differential%20Equations%20by%20Collocation.pdf |
| _version_ | 1848823824622026752 |
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| author | Norhayati, Rosli Bilal, Muhammad Ahmad, Ifthikar |
| author_facet | Norhayati, Rosli Bilal, Muhammad Ahmad, Ifthikar |
| author_sort | Norhayati, Rosli |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | Novel matrix based on numerical technique of collocation method via truncated ortho exponential polynomial (OECM) is proposed to approximate the solution of pantograph differential equations. The applicability, reliability, and efficiency of the methodology are examined by applying the method to the pantograph differential equations. The comparison is made between the existing reported results and the present results. The proposed method shows good agreement with the existing reported method, hence indicate collocation method via truncated ortho exponential polynomial (OECM) is able to numerically simulate pantograph differential equations. |
| first_indexed | 2025-11-15T03:03:17Z |
| format | Article |
| id | ump-31662 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:03:17Z |
| publishDate | 2020 |
| publisher | Science and Engineering Research Support Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-316622021-08-11T02:58:04Z http://umpir.ump.edu.my/id/eprint/31662/ Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial Norhayati, Rosli Bilal, Muhammad Ahmad, Ifthikar QA Mathematics Novel matrix based on numerical technique of collocation method via truncated ortho exponential polynomial (OECM) is proposed to approximate the solution of pantograph differential equations. The applicability, reliability, and efficiency of the methodology are examined by applying the method to the pantograph differential equations. The comparison is made between the existing reported results and the present results. The proposed method shows good agreement with the existing reported method, hence indicate collocation method via truncated ortho exponential polynomial (OECM) is able to numerically simulate pantograph differential equations. Science and Engineering Research Support Society 2020 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/31662/7/Solution%20of%20Pantograph%20Differential%20Equations%20by%20Collocation.pdf Norhayati, Rosli and Bilal, Muhammad and Ahmad, Ifthikar (2020) Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial. International Journal of Advance Science and Technology, 29 (10S). pp. 179-187. ISSN 2207-6360 (Online). (Published) http://sersc.org/journals/index.php/IJAST/article/view/14406 http://sersc.org/journals/index.php/IJAST/article/view/14406 |
| spellingShingle | QA Mathematics Norhayati, Rosli Bilal, Muhammad Ahmad, Ifthikar Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial |
| title | Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial |
| title_full | Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial |
| title_fullStr | Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial |
| title_full_unstemmed | Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial |
| title_short | Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial |
| title_sort | solution of pantograph differential equations by collocation method using ortho exponential polynomial |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/31662/ http://umpir.ump.edu.my/id/eprint/31662/ http://umpir.ump.edu.my/id/eprint/31662/ http://umpir.ump.edu.my/id/eprint/31662/7/Solution%20of%20Pantograph%20Differential%20Equations%20by%20Collocation.pdf |