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