An Efficient Method for Solving

Omar M. Al-Faour

Article Details

An Efficient Method for Solving

Authors:

Omar M. Al-Faour

Publisher:

University of Kirkuk

Journal:

Kirkuk Journal of Science Vol.3 Issue 1, pp.139-157

Document Type:

Article

Publication Date:

6/2008

Document Language:

English

Document ID (Org No.):

2001931491

pISSN:

3005-4788

Keywords:

Abstract:

 This paper presents a new method for solving fractional partial differential equations (FPDE) which is called the polynomial approximation method based on the polynomial approximation uN(x,t) and on its general fractional derivative formula.By modifying the general fractional derivative formula of uN(x,t) and with the aid of the linear FPDE,  another new formula can be found for the approximation uN(x,t). This is the basic idea of the proposed method. Furthermore, the mathematical proof of the convergence and stability of this method have been studied. Some numerical examples show that the proposed method exhibits a satisfactory results.

Article Details

An Efficient Method for Solving

Authors: Omar M. Al-Faour

Publisher: University of Kirkuk

Journal: Kirkuk Journal of Science Vol.3 Issue 1, pp.139-157

Document Type: Article

Publication Date: 6/2008

Document Language: English

Document ID (Org No.): 2001931491

pISSN: 3005-4788

An Efficient

method

Solving

Issues

Authors:

Omar M. Al-Faour

Publisher:

University of Kirkuk

Journal:

Kirkuk Journal of Science Vol.3 Issue 1, pp.139-157

Document Type:

Article

Publication Date:

6/2008

Document Language:

English

Document ID (Org No.):

2001931491

pISSN:

3005-4788