dc.contributor.author |
Doha, Eid Hassan
|
|
dc.contributor.author |
Bhrawy, Ali H.
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Abdelkawy, M. A.
|
|
dc.date.accessioned |
2020-12-10T08:58:44Z |
|
dc.date.available |
2020-12-10T08:58:44Z |
|
dc.date.issued |
2014 |
|
dc.identifier.citation |
Doha, Eid Hassan... et al. (2014). "Numerical treatment of coupled nonlinear hyperbolic Klein-Gordon equations", Romanian Journal of Physics, Vol. 59, No. 3-4, pp. 247-264. |
tr_TR |
dc.identifier.issn |
1221-146X |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4329 |
|
dc.description.abstract |
A semi-analytical solution based on a Jacobi-Gauss-Lobatto collocation (J-GLC) method is proposed and developed for the numerical solution of the spatial variable for two nonlinear coupled Klein-Gordon (KG) partial differential equations. The general Jacobi-Gauss-Lobatto points are used as collocation nodes in this approach. The main characteristic behind the J-GL-C approach is that it reduces such problems to solve a system of ordinary differential equations (SODEs) in time. This system is solved by diagonally-implicit Runge-Kutta-Nyström scheme. Numerical results show that the proposed algorithm is efficient, accurate, and compare favorably with the analytical solutions. |
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dc.language.iso |
eng |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Jacobi Collocation Method |
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dc.subject |
Jacobi-Gauss-Lobatto Quadrature |
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dc.subject |
Nonlinear Coupled Hyperbolic |
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dc.subject |
Klein-Gordon Equations |
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dc.subject |
Nonlinear Phenomena |
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dc.title |
Numerical treatment of coupled nonlinear hyperbolic Klein-Gordon equations |
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dc.type |
article |
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dc.relation.journal |
Romanian Journal of Physics |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
59 |
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dc.identifier.issue |
3-4 |
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dc.identifier.startpage |
247 |
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dc.identifier.endpage |
264 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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