A Highly Approximate Pseudo-Spectral Method for the Solution of Convection-Diffusion Equations

Magdi EL-AZAB; Rabha EL-ASHWAH; Maha ABBAS; Galal EL-BAGHDADY

doi:https://doi.org/10.33187/jmsm.634089

Article Details

A Highly Approximate Pseudo-Spectral Method for the Solution of Convection-Diffusion Equations

Authors:

Magdi EL-AZAB | Rabha EL-ASHWAH | Maha ABBAS | Galal EL-BAGHDADY

Publisher:

Mahmut AKYİĞİT

Main Topics:

Mathematics

Journal:

Journal of Mathematical Sciences and Modelling 2020 Vol.3 Issue 2, pp.86-94

Document Type:

Article

Publication Date:

8/2020

Document Language:

English

Document ID (Org No.):

2000486625

Frequency:

Monthly

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.634089

Abstract:

 


The main purpose of this paper is to compute a highly accurate numerical solution of two dimensional convection--diffusion equations with variable coefficients by using Legendre pseudo-spectral method based on Legendre-Gauss-Lobatto nodes. The Kronecker product is used here to formulate a linear system of differentiation matrices; this system was reduced to be more accurate with less memory usage. Error analysis with test problems are introduced to show that the suggested scheme of the spectral method has high accuracy.

.

Article Details

A Highly Approximate Pseudo-Spectral Method for the Solution of Convection-Diffusion Equations

Authors: Magdi EL-AZAB | Rabha EL-ASHWAH | Maha ABBAS | Galal EL-BAGHDADY

Publisher: Mahmut AKYİĞİT

Main Topics: Mathematics

Journal: Journal of Mathematical Sciences and Modelling 2020 Vol.3 Issue 2, pp.86-94

Document Type: Article

Publication Date: 8/2020

Document Language: English

Document ID (Org No.): 2000486625

Frequency: Monthly

pISSN: 2636-8692

DOI: https://doi.org/10.33187/jmsm.634089

Issues

Authors:

Magdi EL-AZAB | Rabha EL-ASHWAH | Maha ABBAS | Galal EL-BAGHDADY

Publisher:

Mahmut AKYİĞİT

Main Topics:

Mathematics

Journal:

Journal of Mathematical Sciences and Modelling 2020 Vol.3 Issue 2, pp.86-94

Document Type:

Article

Publication Date:

8/2020

Document Language:

English

Document ID (Org No.):

2000486625

Frequency:

Monthly

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.634089