The Numerical Solution of Fractional Diffusion Equation by Using Local Polynomial Regression

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Caglar H., Caglar N., ÖZER M.

ACTA PHYSICA POLONICA A, cilt.125, sa.2, ss.551-553, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 125 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.12693/aphyspola.125.551
  • Dergi Adı: ACTA PHYSICA POLONICA A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.551-553
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

In this paper, we apply the local polynomial regression for the solution of the one-dimensional fractional diffusion equation. The Caputo fractional derivative is used for the formulation. A numerical example is given to show the application of the present method. The effect of the fractional order (a) of the equation is illustrated by changing a from 1.01 to 1.99.