تحت إشراف قسم الرياضيات والإحصاء وبالتعاون مع مركز البحوث بالكلية أقيم يوم الثلاثاء ١٥ / ربيع أول / ١٤٤١هـ سيمنار بعنوان :

A numerical study by using the Chebyshev collocation method for

a problem of biological   invasion:  Fractional Fisher equation

قدمه أ.د.محمد معبد وذلك في تمام الساعة 9:10 ص في قاعة 2-31A .

ملخص البحث:

In this paper, an efficient  numerical method is introduced for solving the fractional  (Caputo sense) Fisher equation. We use the spectral collocation method which is based upon Chebyshev approximations. The properties of Chebyshev polynomials of the third kind are used to reduce the proposed problem to a system of ODEs, which is solved by the finite difference method (FDM). Some theorems about the convergence analysis are stated and proved. A numerical simulation is given and the results are compared with the exact solution.