An application of Chebyshev wavelet method for the nonlinear time fractional Schrodinger equation

Esra Kose G., Oruc O., ESEN A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.45, sa.11, ss.6635-6649, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 11
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.8196
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.6635-6649
  • Anahtar Kelimeler: Chebyshev wavelet method, nonlinear phenomena, time fractional Schrodiger equation, PARTIAL-DIFFERENTIAL-EQUATIONS, NUMERICAL-SOLUTION, COLLOCATION
  • İnönü Üniversitesi Adresli: Evet

Özet

In the present manuscript, we will deal with time fractional Schrodinger equation having appropriate initial and boundary conditions with Chebyshev wavelet method numerically. The Chebyshev wavelet method will be utilized successfully for two test problems. In order to find out efficiency and accuracy of this method, the widely used error norms L-2 and L-infinity of the newly found results have been compared with some of the other approximate results in the literature. The results have been given in tables and figures to show the compatibility between the new results and those in other articles.