The residual power series method for solving fractional Klein-Gordon equation

Year 2017, , 285 - 293, 01.06.2017

Zeliha Körpınar

https://doi.org/10.16984/saufenbilder.283991

Cited By: 3

Abstract

In this article, the residual power series method (RPSM) for solving fractional Klein-Gordon equations is introduced.
Residual power series algorithm gets Maclaurin expansion of the solution. The solutions of our equation are computed
in the form of rapidly convergent series with easily calculable components by using mathematica software package.
Reliability of the method is given with graphical consequences and series solutions. The found consequences show
that the method is a power and efficient method in determination of solution the time fractional Klein-Gordon
equations.  

Keywords

Residual power series method, Fractional Klein-Gordon equation, Series solution

Kesirli Klein-Gordon denklemi için residual power seri metodu

Abstract

Bu makalede kesirli Klein-Gordon denklemlerinin çözümleri için Residual Power Seri metodu (RPSM) uygulanmıştır.
Residual Power Seri algoritması çözümün Maclaurin açılımını verir. Bu denklemlerin çözümleri, Mathematica
programı kullanılarak kolayca hesaplanan bileşenler ile hızlı yakınsak seriler formunda hesaplanmıştır. Metodun
güvenilirliği, seri çözümler ve grafik sonuçlar yardımıyla verilmiştir. Bulunan sonuçlar, kullandığımız metodun kesirli
Klein-Gordon denklemlerinin seri çözümlerinin belirlenmesinde güçlü ve etkili bir metot olduğunu göstermektedir.  

Keywords

Residual power seri metodu, Kesirli Klein-Gordon denklemleri, Seri çözüm

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