Work

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

Year: 2014

Type: article

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

Source: Acta Physica Polonica A

DOI: 10.12693/aphyspola.125.551

Authors: H. Caglar, N. Caglar, M. Ozer

Institution: Istanbul Kültür University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2022138859

FWCI:

Cites: 10

Cited by: 2

Related to: 10