A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation
The key purpose of the present work is to introduce a numerical algorithm for the solution of the fractional Klein-Gordon equation (FKGE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm...
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| Language: | English |
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Institute of Fundamental Technological Research
2019-02-01
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| Series: | Engineering Transactions |
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| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/910 |
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| author | Harendra SINGH Devendra KUMAR Jagdev SINGH C.S. SINGH |
| author_facet | Harendra SINGH Devendra KUMAR Jagdev SINGH C.S. SINGH |
| author_sort | Harendra SINGH |
| collection | DOAJ |
| description | The key purpose of the present work is to introduce a numerical algorithm for the solution of the fractional Klein-Gordon equation (FKGE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FKGE into Sylvester form of algebraic equations
which significantly simplify the problem. Numerical results derived by using suggested numerical scheme are compared with the exact solution. The results show that the suggested algorithm is very user friendly for solving FKGE and accurate. |
| format | Article |
| id | doaj-art-5f1043f827674643ab5589c9dc3bca92 |
| institution | Kabale University |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 2019-02-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-5f1043f827674643ab5589c9dc3bca922025-08-20T03:49:50ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80712019-02-0167110.24423/EngTrans.910.20190214A Reliable Numerical Algorithm for the Fractional Klein-Gordon EquationHarendra SINGH0Devendra KUMAR1Jagdev SINGH2C.S. SINGH3School of Mathematical Sciences, National Institute of Science Education and Research(NISER)JECRC UniversityJECRC UniversityDepartment of Mathematics, Rajkiya Engineering CollegeThe key purpose of the present work is to introduce a numerical algorithm for the solution of the fractional Klein-Gordon equation (FKGE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FKGE into Sylvester form of algebraic equations which significantly simplify the problem. Numerical results derived by using suggested numerical scheme are compared with the exact solution. The results show that the suggested algorithm is very user friendly for solving FKGE and accurate.https://et.ippt.pan.pl/index.php/et/article/view/910fractional Klein-Gordon equationLegendre scaling functionsoperational matrices |
| spellingShingle | Harendra SINGH Devendra KUMAR Jagdev SINGH C.S. SINGH A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation Engineering Transactions fractional Klein-Gordon equation Legendre scaling functions operational matrices |
| title | A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation |
| title_full | A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation |
| title_fullStr | A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation |
| title_full_unstemmed | A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation |
| title_short | A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation |
| title_sort | reliable numerical algorithm for the fractional klein gordon equation |
| topic | fractional Klein-Gordon equation Legendre scaling functions operational matrices |
| url | https://et.ippt.pan.pl/index.php/et/article/view/910 |
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