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 |