Kesirli Klein-Gordon denklemi için residual power seri metodu

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.

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

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 computedin 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 showthat the method is a power and efficient method in determination of solution the time fractional Klein-Gordonequations.

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