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     Research Journal of Applied Sciences, Engineering and Technology

    Abstract
2014(Vol.7, Issue:4)
Article Information:

A Numerical Solution for One-dimensional Parabolic Equation Using Pseudo-spectral Integration Matrix and FDM

Saeid Gholami
Corresponding Author:  Saeid Gholami 
Submitted: April 15, 2013
Accepted: May 08, 2013
Published: January 27, 2014
Abstract:
This study presents a numerical method for the solution of one type of PDEs equation. In this study, apply the pseudo-spectral successive integration method to approximate the solution of the one-dimensional parabolic equation. This method is based on El-Gendi pseudo-spectral method. Also the Finite Difference Method (FDM) is used as a minor method. The present numerical results are in satisfactory agreement with exact solution.

Key words:  El-Gendi method, Gauss-Lobatto points, pseudo-spectral successive integration, parabolic equation, , ,
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Cite this Reference:
Saeid Gholami, . A Numerical Solution for One-dimensional Parabolic Equation Using Pseudo-spectral Integration Matrix and FDM. Research Journal of Applied Sciences, Engineering and Technology, (4): 801-806.
ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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