Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials
This work adopts to the time-fractional Klein–Gordon equation (FKGE) in the Caputo sense. We present a new technique using the clique polynomial as basis function for the operational matrices to obtain solution of time-FKGE. The key advantage of this technique is converting the time-FKGE to algebrai...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-10-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821001794 |
| _version_ | 1831685819136475136 |
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| author | R.M. Ganji H. Jafari M. Kgarose A. Mohammadi |
| author_facet | R.M. Ganji H. Jafari M. Kgarose A. Mohammadi |
| author_sort | R.M. Ganji |
| collection | DOAJ |
| description | This work adopts to the time-fractional Klein–Gordon equation (FKGE) in the Caputo sense. We present a new technique using the clique polynomial as basis function for the operational matrices to obtain solution of time-FKGE. The key advantage of this technique is converting the time-FKGE to algebraic equations, which can be simply solved the problem under study. For the approximation of a bivariate function using the clique polynomial, an error bound is given. Numerical results derived using the proposed technique are compared with the exact solution. The results show that the proposed technique is very user friendly for solving the time-FKGE and accurate. |
| first_indexed | 2024-12-20T08:28:21Z |
| format | Article |
| id | doaj.art-1f336e14a5f748db93ab7e2cd59fa1b1 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-20T08:28:21Z |
| publishDate | 2021-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-1f336e14a5f748db93ab7e2cd59fa1b12022-12-21T19:46:46ZengElsevierAlexandria Engineering Journal1110-01682021-10-0160545634571Numerical solutions of time-fractional Klein-Gordon equations by clique polynomialsR.M. Ganji0H. Jafari1M. Kgarose2A. Mohammadi3Department of Mathematics, University of Mazandaran, Babolsar, IranDepartment of Mathematics, University of Mazandaran, Babolsar, Iran; Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan; Corresponding author at: Department of Mathematics, University of Mazandaran, Babolsar, Iran.Department of Mathematical Sciences, University of South Africa, UNISA0003, South AfricaDepartment of Mathematics, University of Mazandaran, Babolsar, IranThis work adopts to the time-fractional Klein–Gordon equation (FKGE) in the Caputo sense. We present a new technique using the clique polynomial as basis function for the operational matrices to obtain solution of time-FKGE. The key advantage of this technique is converting the time-FKGE to algebraic equations, which can be simply solved the problem under study. For the approximation of a bivariate function using the clique polynomial, an error bound is given. Numerical results derived using the proposed technique are compared with the exact solution. The results show that the proposed technique is very user friendly for solving the time-FKGE and accurate.http://www.sciencedirect.com/science/article/pii/S111001682100179434A0865M7011B68 |
| spellingShingle | R.M. Ganji H. Jafari M. Kgarose A. Mohammadi Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials Alexandria Engineering Journal 34A08 65M70 11B68 |
| title | Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials |
| title_full | Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials |
| title_fullStr | Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials |
| title_full_unstemmed | Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials |
| title_short | Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials |
| title_sort | numerical solutions of time fractional klein gordon equations by clique polynomials |
| topic | 34A08 65M70 11B68 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821001794 |
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