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

• Authors: H. Caglar , N. Caglar , M. Ozer
• Languages of publication: EN

Abstracts

EN

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 (α) of the equation is illustrated by changing α from 1.01 to 1.99.

Keywords

EN

02.60.-x; 02.60.Lj

Discipline

• 02.60.Lj: Ordinary and partial differential equations; boundary value problems
• 02.60.-x: Numerical approximation and analysis

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 125
• Issue: 2
• Pages: 551-553

Dates

published

2014-02

Contributors

author

H. Caglar

• Istanbul Kultur University, Department of Mathematics-Computer, Istanbul, Turkey

author

N. Caglar

• Istanbul Kultur University, Faculty of Economic and Administrative Science, Istanbul, Turkey

author

M. Ozer

• Istanbul Kultur University, Department of Physics, Istanbul, Turkey

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Identifiers

DOI

10.12693/APhysPolA.125.551