Doaa Ahmed Abd El-wahab Hammad
Asst. Professor
Parametric quintic spline for time fractional Burger’s and coupled Burgers’ equations
Fixed Point Theory and Algorithms for Sciences and Engineering • 2023
Publication Information
Authors
D.A. Hammad; Mourad S. Semary; Ahmed G. Khattab
Keywords
Parametric quintic spline method; Fractional Burger’s equation;
Fractional coupled Burger’s equations; Von Neumann stability analysis
Journal
Fixed Point Theory and Algorithms for Sciences and Engineering
Publisher
Springer Nature
Volume
9-2023
Issue
2730-5422
Pages
1-17
publication.type
International
Paper Link
Open Link
Supplementary Materials
Doaa Ahmed Abd El-wahab Hammad_s13663-023-00740-3.pdf
Abstract
In this paper, the numerical solutions of time fractional Burger’s and coupled Burgers’
equations are obtained using the parametric quintic spline method with a local
truncation error of order eight in distance direction. Additionally, the von Neumann
method was utilized for studying the stability analysis of the present method. Finally,
to show the accuracy of this method, some examples with different cases for Burger’s
and coupled Burgers’ equations are presented and their results are compared with
the previous methods.
equations are obtained using the parametric quintic spline method with a local
truncation error of order eight in distance direction. Additionally, the von Neumann
method was utilized for studying the stability analysis of the present method. Finally,
to show the accuracy of this method, some examples with different cases for Burger’s
and coupled Burgers’ equations are presented and their results are compared with
the previous methods.