Galerkin Method For Fractional Diffusion Equation

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Uçar M. F.

ADVANCES IN MATHEMATICS: SCIENTIFIC JOURNAL, cilt.5, sa.1, ss.65-70, 2016 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2016
  • Dergi Adı: ADVANCES IN MATHEMATICS: SCIENTIFIC JOURNAL
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.65-70
  • İstanbul Kültür Üniversitesi Adresli: Hayır

Özet

The one-dimensional fractional diffusion equation is studied systematically using the Galerkin method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of the method. The numerical results are obtained for different values (n) of equation. An effective and easy-to-use method for solving such equations is needed.