Numerical solution of higher order functional differential equation by collocation method via hermite polynomials
This paper is devoted to propose the numerical solution pantograph differential equations via a new computational approach of Hermite collocation method. The convergence of the Hermite collocation method is investigated. The numerical solution of pantograph differential equations is obtained in term...
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| Format: | Article |
| Language: | English |
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European Journal of Molecular & Clinical Medicine
2020
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| Online Access: | http://umpir.ump.edu.my/id/eprint/31663/ http://umpir.ump.edu.my/id/eprint/31663/1/EJMCM_Volume%207_Issue%208_Pages%20546-558FULLPAPER.pdf |
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| author | Muhammad, Bilal Norhayati, Rosli Norazaliza, Mohd Jamil Iftikhar, Ahmad |
| author_facet | Muhammad, Bilal Norhayati, Rosli Norazaliza, Mohd Jamil Iftikhar, Ahmad |
| author_sort | Muhammad, Bilal |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | This paper is devoted to propose the numerical solution pantograph differential equations via a new computational approach of Hermite collocation method. The convergence of the Hermite collocation method is investigated. The numerical solution of pantograph differential equations is obtained in terms of Hermite polynomial. Nonlinear pantograph differential equations are solved and compared with the exact solutions to show the validity, applicability, acceptability and accuracy of the Hermite collocation method. The approximated results show good agreement with the exact solutions, hence indicate good performance of the methods in solving the corresponding equations. |
| first_indexed | 2025-11-15T03:03:17Z |
| format | Article |
| id | ump-31663 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:03:17Z |
| publishDate | 2020 |
| publisher | European Journal of Molecular & Clinical Medicine |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-316632021-07-19T07:27:19Z http://umpir.ump.edu.my/id/eprint/31663/ Numerical solution of higher order functional differential equation by collocation method via hermite polynomials Muhammad, Bilal Norhayati, Rosli Norazaliza, Mohd Jamil Iftikhar, Ahmad QA Mathematics This paper is devoted to propose the numerical solution pantograph differential equations via a new computational approach of Hermite collocation method. The convergence of the Hermite collocation method is investigated. The numerical solution of pantograph differential equations is obtained in terms of Hermite polynomial. Nonlinear pantograph differential equations are solved and compared with the exact solutions to show the validity, applicability, acceptability and accuracy of the Hermite collocation method. The approximated results show good agreement with the exact solutions, hence indicate good performance of the methods in solving the corresponding equations. European Journal of Molecular & Clinical Medicine 2020 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/31663/1/EJMCM_Volume%207_Issue%208_Pages%20546-558FULLPAPER.pdf Muhammad, Bilal and Norhayati, Rosli and Norazaliza, Mohd Jamil and Iftikhar, Ahmad (2020) Numerical solution of higher order functional differential equation by collocation method via hermite polynomials. Numerical Solution Of Higher Order Functional Differential Equation By Collocation Method Via Hermite Polynomials, 7 (8). pp. 546-558. ISSN 2515-8260. (Published) https://ejmcm.com/article_3181.html |
| spellingShingle | QA Mathematics Muhammad, Bilal Norhayati, Rosli Norazaliza, Mohd Jamil Iftikhar, Ahmad Numerical solution of higher order functional differential equation by collocation method via hermite polynomials |
| title | Numerical solution of higher order functional differential equation by collocation method via hermite polynomials |
| title_full | Numerical solution of higher order functional differential equation by collocation method via hermite polynomials |
| title_fullStr | Numerical solution of higher order functional differential equation by collocation method via hermite polynomials |
| title_full_unstemmed | Numerical solution of higher order functional differential equation by collocation method via hermite polynomials |
| title_short | Numerical solution of higher order functional differential equation by collocation method via hermite polynomials |
| title_sort | numerical solution of higher order functional differential equation by collocation method via hermite polynomials |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/31663/ http://umpir.ump.edu.my/id/eprint/31663/ http://umpir.ump.edu.my/id/eprint/31663/1/EJMCM_Volume%207_Issue%208_Pages%20546-558FULLPAPER.pdf |