Zaman kesirli KdV denklemlerinin residual kuvvet serisi yöntemi ile yaklaşık çözümü

Abstract

Bu çalışmada zaman-kesirli Korteveg de Vries (KdV) denkleminin ve modifiye edilmiş halinin rezidual kuvvet serisi metodu (RPSM) ile yaklaşık çözümü elde edilmiştir.  Nümerik sonuçlar verilmiş ve bu sonuçlar tam çözümle nümerik ve grafiksel olarak karşılaştırılmıştır.  Bulunan sonuçlar kullanılan yöntemin gayet başarılı, etkili ve güvenilir olduğunu ortaya koymaktadır.

Keywords

• Residual kuvvet serisi yöntemi,KdV denklemi,Caputo kesirli türevi,Kesirli kısmi diferansiyel denklem

Approximate solution of time-fractional KdV equations by residual power series method

Abstract

In this article, approximate solutions of the time-fractional Korteveg de Vries (KdV) and modified version of it is obtained by using the residual power series method (RPSM). Numerical results are given and then they are compared with the exact solutions both numerically and graphically. The results show that the present method is very successful, effective and reliable.

Keywords

• Residual power series method,KdV equation,Caputo fractional derivative,Fractional partial differential equation

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