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Numerical analysis for the Klein-Gordon equation with mass parameter
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| dc.contributor.author | Alkahtani, Badr Saad T. | |
| dc.contributor.author | Atangana, Abdon | |
| dc.contributor.author | Koca, İlknur | |
| dc.date.accessioned | 2017-12-22T12:04:26Z | |
| dc.date.available | 2017-12-22T12:04:26Z | |
| dc.date.issued | 2017-09-16 | |
| dc.identifier.citation | Alkahtani, B. S. T., Atangana, A., & Koca, I. (2017). Numerical analysis for the Klein-Gordon equation with mass parameter. Advances in Difference Equations, 2017(1), 291. https://doi.org/10.1186/s13662-017-1352-6 | en-US |
| dc.identifier.uri | http://hdl.handle.net/11672/969 | en-US |
| dc.description.abstract | A numerical analysis of the well-known linear partial differential equation describing the relativistic wave is presented in this work. Three different operators of fractional differentiation with power law, exponential decay law and Mittag-Leffler law are employed to extend the Klein-Gordon equation with mass parameter to the concept of fractional differentiation. The three models are solved numerically. The stability and the convergence of the numerical schemes are investigated in detail. | en-US |
| dc.language.iso | eng | en-US |
| dc.publisher | Springer | en-US |
| dc.relation.isversionof | 10.1186/s13662-017-1352-6 | en-US |
| dc.rights | info:eu-repo/semantics/openAccess | en-US |
| dc.subject | Second Approximation Of Fractional Derivative | en-US |
| dc.subject | Klein-Gordon Equation | en-US |
| dc.subject | Stability Analysis | en-US |
| dc.title | Numerical analysis for the Klein-Gordon equation with mass parameter | en-US |
| dc.type | article | en-US |
| dc.relation.journal | Advances in Difference Equations | en-US |
| dc.contributor.department | Mehmet Akif Ersoy Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en-US |
| dc.identifier.volume | 2017 | en-US |
| dc.identifier.issue | 291 | en-US |
