Drinfeld–Sokolov–Satsuma–Hirota (DSSH) Denkleminin Rezidual Kuvvet Seri Metodu (RKSM) Yardımıyla Yaklaşık Çözümü

Ahmet KAYA

doi:10.29002/asujse.992420

Aksaray University Journal of Science and Engineering

Araştırma Makalesi

Approximate Solution of Drinfeld–Sokolov–Satsuma–Hirota (DSSH) Equations by Residual Power Series Method (RPSM)

Yıl 2021, Cilt 5, Sayı 2, 78 - 91, 30.12.2021

Ahmet KAYA

https://doi.org/10.29002/asujse.992420

Öz

Drinfeld–Sokolov–Satsuma–Hirota (DSSH) equation approximation solution is acquired by using the residual power series method (RPSM) in this study. The conformable sense is used to characterize the fractional derivatives and the approximate solutions of the RPSM technique are compared to the exact solutions by using various tables and graphs for different fractional operators. The findings demonstrate that the method introduced is simple to use, very successful, consistent; and provides a considerable advance in this area compared to prior approaches.

Anahtar Kelimeler

Drinfeld–Sokolov–Satsuma–Hirota (DSSH) Equation, Residual Power Series Method (RPSM), Conformable, Partial Differential Equation, Approximate Solution

Kaynakça

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