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, vol.125, no.2, pp.551-553, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 125 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.12693/aphyspola.125.551
  • Journal Name: ACTA PHYSICA POLONICA A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.551-553
  • Istanbul Kültür University Affiliated: Yes

Abstract

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.