Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method
In this paper, a collocation method which based on polynomial approximation of Taylor's series is proposed to approximate the solution of fractional pantograph differential equations (FPDE). The collocation method with truncated Taylor's polynomial is shown to be an applicable technique in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia
2020
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| Online Access: | http://umpir.ump.edu.my/id/eprint/31661/ http://umpir.ump.edu.my/id/eprint/31661/1/Numerical%20Solution%20of%20Fractional%20PDE%20with%20Fractional%20Taylor%20Series.pdf |
| _version_ | 1848823824379805696 |
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| author | Bilal, Muhammad Norhayati, Rosli Norazaliza, Mohd Jamil Ahmad, Ifthikar |
| author_facet | Bilal, Muhammad Norhayati, Rosli Norazaliza, Mohd Jamil Ahmad, Ifthikar |
| author_sort | Bilal, Muhammad |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | In this paper, a collocation method which based on polynomial approximation of Taylor's series is proposed to approximate the solution of fractional pantograph differential equations (FPDE). The collocation method with truncated Taylor's polynomial is shown to be an applicable technique in solving FDDE. Some examples of the non-linear fractional pantograph differential equations are solved and compared with the exact solution to confirm the accuracy and applicability of the collocation method with Taylor's polynomial. |
| first_indexed | 2025-11-15T03:03:16Z |
| format | Article |
| id | ump-31661 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:03:16Z |
| publishDate | 2020 |
| publisher | Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-316612021-08-11T05:07:40Z http://umpir.ump.edu.my/id/eprint/31661/ Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method Bilal, Muhammad Norhayati, Rosli Norazaliza, Mohd Jamil Ahmad, Ifthikar QA Mathematics In this paper, a collocation method which based on polynomial approximation of Taylor's series is proposed to approximate the solution of fractional pantograph differential equations (FPDE). The collocation method with truncated Taylor's polynomial is shown to be an applicable technique in solving FDDE. Some examples of the non-linear fractional pantograph differential equations are solved and compared with the exact solution to confirm the accuracy and applicability of the collocation method with Taylor's polynomial. Universiti Putra Malaysia 2020-12 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/31661/1/Numerical%20Solution%20of%20Fractional%20PDE%20with%20Fractional%20Taylor%20Series.pdf Bilal, Muhammad and Norhayati, Rosli and Norazaliza, Mohd Jamil and Ahmad, Ifthikar (2020) Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method. Malaysian Journal of Mathematical Sciences, 14 (4 Special). pp. 155-169. ISSN 18238343. (Published) https://einspem.upm.edu.my/journal/fullpaper/vol14sdec/11.%20Norhayati.pdf |
| spellingShingle | QA Mathematics Bilal, Muhammad Norhayati, Rosli Norazaliza, Mohd Jamil Ahmad, Ifthikar Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method |
| title | Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method |
| title_full | Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method |
| title_fullStr | Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method |
| title_full_unstemmed | Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method |
| title_short | Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method |
| title_sort | numerical solution of fractional pantograph differential equation via fractional taylor series collocation method |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/31661/ http://umpir.ump.edu.my/id/eprint/31661/ http://umpir.ump.edu.my/id/eprint/31661/1/Numerical%20Solution%20of%20Fractional%20PDE%20with%20Fractional%20Taylor%20Series.pdf |