أعضاء هيئة التدريس - جامعة بنها
Numerical approach for solving space fractional order diffusion equations using shifted Chebyshev polynomials of the fourth kind
Turkish Journal of Mathematics • 2016
معلومات البحث
المؤلفون
N.H.Sweilam; A.M.Nagy; Adel A.El-Sayed
الكلمات المفتاحية
Space fractional order diffusion equation; Caputo derivative; Chebyshev collocation method; finite difference method; Chebyshev polynomials of the fourth kind; Euler approximation
المجلة العلمية
Turkish Journal of Mathematics
الناشر
The Scientific and Technological Research Council of Turkey
المجلد
40
العدد
6
الصفحات
1283-1297
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
In this paper, a new approach for solving space fractional order diffusion equations is proposed. The fractional derivative in this problem is in the Caputo sense. This approach is based on shifted Chebyshev polynomials
of the fourth kind with the collocation method. The finite difference method is used to reduce the equations obtained
by our approach for a system of algebraic equations that can be efficiently solved. Numerical results obtained with our
approach are presented and compared with the results obtained by other numerical methods. The numerical results
show the efficiency of the proposed approach.
of the fourth kind with the collocation method. The finite difference method is used to reduce the equations obtained
by our approach for a system of algebraic equations that can be efficiently solved. Numerical results obtained with our
approach are presented and compared with the results obtained by other numerical methods. The numerical results
show the efficiency of the proposed approach.