The Element-Free Galerkin Method for Solving the Fractional Schrödinger Equation

Şengül S.

9th International Conference on Computational Mathematics and Engineering Sciences, Diyarbakır, Türkiye, 17 - 19 Mayıs 2025, ss.54, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Diyarbakır
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.54
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this paper, the fractional Schrödinger equation with Caputo-type derivatives was numerically solved using the Element-Free Galerkin method. The 𝐿𝐿1 method was used to discretize the Caputo fractional derivative, and the Rubin-Graves approach was used to linearize the nonlinear terms. It has been observed that the approximate solutions are consistent with the exact solutions.