دعاء أحمد عبد الوهاب حماد
أستاذ مساعد
Parametric quintic spline for time fractional Burger’s and coupled Burgers’ equations
Fixed Point Theory and Algorithms for Sciences and Engineering • 2023
معلومات البحث
المؤلفون
D.A. Hammad; Mourad S. Semary; Ahmed G. Khattab
الكلمات المفتاحية
Parametric quintic spline method; Fractional Burger’s equation;
Fractional coupled Burger’s equations; Von Neumann stability analysis
المجلة العلمية
Fixed Point Theory and Algorithms for Sciences and Engineering
الناشر
Springer Nature
المجلد
9-2023
العدد
2730-5422
الصفحات
1-17
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Doaa Ahmed Abd El-wahab Hammad_s13663-023-00740-3.pdf
الملخص
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.